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Finding the Third Proportional to 411,002 and 613,731

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Solution

The third proportional to 411,002 and 613,731 is: 916,457.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,002 : 613,731 = 613,731 : x
  2. Step 2: Convert to fraction form
    411,002/613,731 = 613,731/x
  3. Step 3: Cross multiply
    411,002x = 613,731 × 613,731
  4. Step 4: Simplify right side
    411,002x = 376,665,740,361
  5. Step 5: Solve for x
    x = 376,665,740,361/411,002
  6. Step 6: Final answer
    x = 916,457.20

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.