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Finding the Third Proportional to 255,961,728 and 412,182,720

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Solution

The third proportional to 255,961,728 and 412,182,720 is: 663,749,991.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,961,728 : 412,182,720 = 412,182,720 : x
  2. Step 2: Convert to fraction form
    255,961,728/412,182,720 = 412,182,720/x
  3. Step 3: Cross multiply
    255,961,728x = 412,182,720 × 412,182,720
  4. Step 4: Simplify right side
    255,961,728x = 169,894,594,666,598,400
  5. Step 5: Solve for x
    x = 169,894,594,666,598,400/255,961,728
  6. Step 6: Final answer
    x = 663,749,991.04

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.