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Finding the Third Proportional to 129,657 and 189,517.50

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Solution

The third proportional to 129,657 and 189,517.50 is: 277,014.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,657 : 189,517.50 = 189,517.50 : x
  2. Step 2: Convert to fraction form
    129,657/189,517.50 = 189,517.50/x
  3. Step 3: Cross multiply
    129,657x = 189,517.50 × 189,517.50
  4. Step 4: Simplify right side
    129,657x = 35,916,882,806.25
  5. Step 5: Solve for x
    x = 35,916,882,806.25/129,657
  6. Step 6: Final answer
    x = 277,014.61

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.