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Finding the Third Proportional to 258,342 and 392,982

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Solution

The third proportional to 258,342 and 392,982 is: 597,792.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,342 : 392,982 = 392,982 : x
  2. Step 2: Convert to fraction form
    258,342/392,982 = 392,982/x
  3. Step 3: Cross multiply
    258,342x = 392,982 × 392,982
  4. Step 4: Simplify right side
    258,342x = 154,434,852,324
  5. Step 5: Solve for x
    x = 154,434,852,324/258,342
  6. Step 6: Final answer
    x = 597,792.28

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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.