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Finding the Third Proportional to 476,243,128,650 and 728,031,024,251.25

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Solution

The third proportional to 476,243,128,650 and 728,031,024,251.25 is: 1,112,938,204,011.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,243,128,650 : 728,031,024,251.25 = 728,031,024,251.25 : x
  2. Step 2: Convert to fraction form
    476,243,128,650/728,031,024,251.25 = 728,031,024,251.25/x
  3. Step 3: Cross multiply
    476,243,128,650x = 728,031,024,251.25 × 728,031,024,251.25
  4. Step 4: Simplify right side
    476,243,128,650x = 530,029,172,272,324,163,928,064
  5. Step 5: Solve for x
    x = 530,029,172,272,324,163,928,064/476,243,128,650
  6. Step 6: Final answer
    x = 1,112,938,204,011.03

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.