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Finding the Third Proportional to 103,680 and 138,944

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Solution

The third proportional to 103,680 and 138,944 is: 186,202.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,680 : 138,944 = 138,944 : x
  2. Step 2: Convert to fraction form
    103,680/138,944 = 138,944/x
  3. Step 3: Cross multiply
    103,680x = 138,944 × 138,944
  4. Step 4: Simplify right side
    103,680x = 19,305,435,136
  5. Step 5: Solve for x
    x = 19,305,435,136/103,680
  6. Step 6: Final answer
    x = 186,202.11

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.