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Finding the Third Proportional to 258,042 and 379,472

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Solution

The third proportional to 258,042 and 379,472 is: 558,044.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,042 : 379,472 = 379,472 : x
  2. Step 2: Convert to fraction form
    258,042/379,472 = 379,472/x
  3. Step 3: Cross multiply
    258,042x = 379,472 × 379,472
  4. Step 4: Simplify right side
    258,042x = 143,998,998,784
  5. Step 5: Solve for x
    x = 143,998,998,784/258,042
  6. Step 6: Final answer
    x = 558,044.81

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.