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Finding the Third Proportional to 120,592 and 138,112

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Solution

The third proportional to 120,592 and 138,112 is: 158,177.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,592 : 138,112 = 138,112 : x
  2. Step 2: Convert to fraction form
    120,592/138,112 = 138,112/x
  3. Step 3: Cross multiply
    120,592x = 138,112 × 138,112
  4. Step 4: Simplify right side
    120,592x = 19,074,924,544
  5. Step 5: Solve for x
    x = 19,074,924,544/120,592
  6. Step 6: Final answer
    x = 158,177.36

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.