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Finding the Third Proportional to 81,270 and 129,775.50

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Solution

The third proportional to 81,270 and 129,775.50 is: 207,231.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,270 : 129,775.50 = 129,775.50 : x
  2. Step 2: Convert to fraction form
    81,270/129,775.50 = 129,775.50/x
  3. Step 3: Cross multiply
    81,270x = 129,775.50 × 129,775.50
  4. Step 4: Simplify right side
    81,270x = 16,841,680,400.25
  5. Step 5: Solve for x
    x = 16,841,680,400.25/81,270
  6. Step 6: Final answer
    x = 207,231.21

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.