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Finding the Third Proportional to 258,124 and 387,294

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Solution

The third proportional to 258,124 and 387,294 is: 581,103.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,124 : 387,294 = 387,294 : x
  2. Step 2: Convert to fraction form
    258,124/387,294 = 387,294/x
  3. Step 3: Cross multiply
    258,124x = 387,294 × 387,294
  4. Step 4: Simplify right side
    258,124x = 149,996,642,436
  5. Step 5: Solve for x
    x = 149,996,642,436/258,124
  6. Step 6: Final answer
    x = 581,103.05

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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.