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Finding the Third Proportional to 386,982 and 557,397

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Solution

The third proportional to 386,982 and 557,397 is: 802,857.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,982 : 557,397 = 557,397 : x
  2. Step 2: Convert to fraction form
    386,982/557,397 = 557,397/x
  3. Step 3: Cross multiply
    386,982x = 557,397 × 557,397
  4. Step 4: Simplify right side
    386,982x = 310,691,415,609
  5. Step 5: Solve for x
    x = 310,691,415,609/386,982
  6. Step 6: Final answer
    x = 802,857.54

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.