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Finding the Third Proportional to 138,280 and 219,872

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Solution

The third proportional to 138,280 and 219,872 is: 349,607.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,280 : 219,872 = 219,872 : x
  2. Step 2: Convert to fraction form
    138,280/219,872 = 219,872/x
  3. Step 3: Cross multiply
    138,280x = 219,872 × 219,872
  4. Step 4: Simplify right side
    138,280x = 48,343,696,384
  5. Step 5: Solve for x
    x = 48,343,696,384/138,280
  6. Step 6: Final answer
    x = 349,607.29

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.