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Finding the Third Proportional to 120,432 and 138,000

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Solution

The third proportional to 120,432 and 138,000 is: 158,130.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,432 : 138,000 = 138,000 : x
  2. Step 2: Convert to fraction form
    120,432/138,000 = 138,000/x
  3. Step 3: Cross multiply
    120,432x = 138,000 × 138,000
  4. Step 4: Simplify right side
    120,432x = 19,044,000,000
  5. Step 5: Solve for x
    x = 19,044,000,000/120,432
  6. Step 6: Final answer
    x = 158,130.73

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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.