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Finding the Third Proportional to 81,494.44 and 129,674.25

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Solution

The third proportional to 81,494.44 and 129,674.25 is: 206,338.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,494.44 : 129,674.25 = 129,674.25 : x
  2. Step 2: Convert to fraction form
    81,494.44/129,674.25 = 129,674.25/x
  3. Step 3: Cross multiply
    81,494.44x = 129,674.25 × 129,674.25
  4. Step 4: Simplify right side
    81,494.44x = 16,815,411,113.06
  5. Step 5: Solve for x
    x = 16,815,411,113.06/81,494.44
  6. Step 6: Final answer
    x = 206,338.15

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.