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Finding the Third Proportional to 415,415,402 and 657,799,725

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Solution

The third proportional to 415,415,402 and 657,799,725 is: 1,041,609,136.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,415,402 : 657,799,725 = 657,799,725 : x
  2. Step 2: Convert to fraction form
    415,415,402/657,799,725 = 657,799,725/x
  3. Step 3: Cross multiply
    415,415,402x = 657,799,725 × 657,799,725
  4. Step 4: Simplify right side
    415,415,402x = 432,700,478,210,075,648
  5. Step 5: Solve for x
    x = 432,700,478,210,075,648/415,415,402
  6. Step 6: Final answer
    x = 1,041,609,136.61

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.