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Finding the Third Proportional to 81,068.06 and 129,505.50

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Solution

The third proportional to 81,068.06 and 129,505.50 is: 206,883.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,068.06 : 129,505.50 = 129,505.50 : x
  2. Step 2: Convert to fraction form
    81,068.06/129,505.50 = 129,505.50/x
  3. Step 3: Cross multiply
    81,068.06x = 129,505.50 × 129,505.50
  4. Step 4: Simplify right side
    81,068.06x = 16,771,674,530.25
  5. Step 5: Solve for x
    x = 16,771,674,530.25/81,068.06
  6. Step 6: Final answer
    x = 206,883.87

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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.