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Finding the Third Proportional to 120,414.50 and 187,515.75

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Solution

The third proportional to 120,414.50 and 187,515.75 is: 292,009.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,414.50 : 187,515.75 = 187,515.75 : x
  2. Step 2: Convert to fraction form
    120,414.50/187,515.75 = 187,515.75/x
  3. Step 3: Cross multiply
    120,414.50x = 187,515.75 × 187,515.75
  4. Step 4: Simplify right side
    120,414.50x = 35,162,156,498.06
  5. Step 5: Solve for x
    x = 35,162,156,498.06/120,414.50
  6. Step 6: Final answer
    x = 292,009.32

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.