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Finding the Third Proportional to 187,117.50 and 451,128

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Solution

The third proportional to 187,117.50 and 451,128 is: 1,087,639.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,117.50 : 451,128 = 451,128 : x
  2. Step 2: Convert to fraction form
    187,117.50/451,128 = 451,128/x
  3. Step 3: Cross multiply
    187,117.50x = 451,128 × 451,128
  4. Step 4: Simplify right side
    187,117.50x = 203,516,472,384
  5. Step 5: Solve for x
    x = 203,516,472,384/187,117.50
  6. Step 6: Final answer
    x = 1,087,639.97

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.