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Finding the Third Proportional to 81,059.06 and 129,494.25

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Solution

The third proportional to 81,059.06 and 129,494.25 is: 206,870.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,059.06 : 129,494.25 = 129,494.25 : x
  2. Step 2: Convert to fraction form
    81,059.06/129,494.25 = 129,494.25/x
  3. Step 3: Cross multiply
    81,059.06x = 129,494.25 × 129,494.25
  4. Step 4: Simplify right side
    81,059.06x = 16,768,760,783.06
  5. Step 5: Solve for x
    x = 16,768,760,783.06/81,059.06
  6. Step 6: Final answer
    x = 206,870.89

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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.