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Finding the Third Proportional to 261,438 and 403,902

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Solution

The third proportional to 261,438 and 403,902 is: 623,998.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,438 : 403,902 = 403,902 : x
  2. Step 2: Convert to fraction form
    261,438/403,902 = 403,902/x
  3. Step 3: Cross multiply
    261,438x = 403,902 × 403,902
  4. Step 4: Simplify right side
    261,438x = 163,136,825,604
  5. Step 5: Solve for x
    x = 163,136,825,604/261,438
  6. Step 6: Final answer
    x = 623,998.14

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.