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Finding the Third Proportional to 258,287 and 387,424

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Solution

The third proportional to 258,287 and 387,424 is: 581,126.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,287 : 387,424 = 387,424 : x
  2. Step 2: Convert to fraction form
    258,287/387,424 = 387,424/x
  3. Step 3: Cross multiply
    258,287x = 387,424 × 387,424
  4. Step 4: Simplify right side
    258,287x = 150,097,355,776
  5. Step 5: Solve for x
    x = 150,097,355,776/258,287
  6. Step 6: Final answer
    x = 581,126.25

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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.