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Finding the Third Proportional to 459,613,423 and 687,791,697

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Solution

The third proportional to 459,613,423 and 687,791,697 is: 1,029,250,658.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,613,423 : 687,791,697 = 687,791,697 : x
  2. Step 2: Convert to fraction form
    459,613,423/687,791,697 = 687,791,697/x
  3. Step 3: Cross multiply
    459,613,423x = 687,791,697 × 687,791,697
  4. Step 4: Simplify right side
    459,613,423x = 473,057,418,462,139,840
  5. Step 5: Solve for x
    x = 473,057,418,462,139,840/459,613,423
  6. Step 6: Final answer
    x = 1,029,250,658.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.