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Finding the Third Proportional to 258,757 and 392,802

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Solution

The third proportional to 258,757 and 392,802 is: 596,286.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,757 : 392,802 = 392,802 : x
  2. Step 2: Convert to fraction form
    258,757/392,802 = 392,802/x
  3. Step 3: Cross multiply
    258,757x = 392,802 × 392,802
  4. Step 4: Simplify right side
    258,757x = 154,293,411,204
  5. Step 5: Solve for x
    x = 154,293,411,204/258,757
  6. Step 6: Final answer
    x = 596,286.91

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.