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Finding the Third Proportional to 476,243,128,652 and 728,031,024,254

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Solution

The third proportional to 476,243,128,652 and 728,031,024,254 is: 1,112,938,204,014.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,243,128,652 : 728,031,024,254 = 728,031,024,254 : x
  2. Step 2: Convert to fraction form
    476,243,128,652/728,031,024,254 = 728,031,024,254/x
  3. Step 3: Cross multiply
    476,243,128,652x = 728,031,024,254 × 728,031,024,254
  4. Step 4: Simplify right side
    476,243,128,652x = 530,029,172,276,328,348,516,352
  5. Step 5: Solve for x
    x = 530,029,172,276,328,348,516,352/476,243,128,652
  6. Step 6: Final answer
    x = 1,112,938,204,014.76

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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.