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Finding the Third Proportional to 120,192 and 174,087

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Solution

The third proportional to 120,192 and 174,087 is: 252,148.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,192 : 174,087 = 174,087 : x
  2. Step 2: Convert to fraction form
    120,192/174,087 = 174,087/x
  3. Step 3: Cross multiply
    120,192x = 174,087 × 174,087
  4. Step 4: Simplify right side
    120,192x = 30,306,283,569
  5. Step 5: Solve for x
    x = 30,306,283,569/120,192
  6. Step 6: Final answer
    x = 252,148.92

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.