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Finding the Third Proportional to 81,063 and 129,500.25

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Solution

The third proportional to 81,063 and 129,500.25 is: 206,880.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,063 : 129,500.25 = 129,500.25 : x
  2. Step 2: Convert to fraction form
    81,063/129,500.25 = 129,500.25/x
  3. Step 3: Cross multiply
    81,063x = 129,500.25 × 129,500.25
  4. Step 4: Simplify right side
    81,063x = 16,770,314,750.06
  5. Step 5: Solve for x
    x = 16,770,314,750.06/81,063
  6. Step 6: Final answer
    x = 206,880.02

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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.