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Finding the Third Proportional to 81,661.50 and 128,331

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Solution

The third proportional to 81,661.50 and 128,331 is: 201,672.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,661.50 : 128,331 = 128,331 : x
  2. Step 2: Convert to fraction form
    81,661.50/128,331 = 128,331/x
  3. Step 3: Cross multiply
    81,661.50x = 128,331 × 128,331
  4. Step 4: Simplify right side
    81,661.50x = 16,468,845,561
  5. Step 5: Solve for x
    x = 16,468,845,561/81,661.50
  6. Step 6: Final answer
    x = 201,672.09

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.