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Finding the Third Proportional to 138,460 and 296,792

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Solution

The third proportional to 138,460 and 296,792 is: 636,180.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,460 : 296,792 = 296,792 : x
  2. Step 2: Convert to fraction form
    138,460/296,792 = 296,792/x
  3. Step 3: Cross multiply
    138,460x = 296,792 × 296,792
  4. Step 4: Simplify right side
    138,460x = 88,085,491,264
  5. Step 5: Solve for x
    x = 88,085,491,264/138,460
  6. Step 6: Final answer
    x = 636,180.06

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.