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Finding the Third Proportional to 128,125.50 and 187,251

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Solution

The third proportional to 128,125.50 and 187,251 is: 273,660.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,125.50 : 187,251 = 187,251 : x
  2. Step 2: Convert to fraction form
    128,125.50/187,251 = 187,251/x
  3. Step 3: Cross multiply
    128,125.50x = 187,251 × 187,251
  4. Step 4: Simplify right side
    128,125.50x = 35,062,937,001
  5. Step 5: Solve for x
    x = 35,062,937,001/128,125.50
  6. Step 6: Final answer
    x = 273,660.88

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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.