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Finding the Third Proportional to 129,016.69 and 138,858.19

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Solution

The third proportional to 129,016.69 and 138,858.19 is: 149,450.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,016.69 : 138,858.19 = 138,858.19 : x
  2. Step 2: Convert to fraction form
    129,016.69/138,858.19 = 138,858.19/x
  3. Step 3: Cross multiply
    129,016.69x = 138,858.19 × 138,858.19
  4. Step 4: Simplify right side
    129,016.69x = 19,281,596,235.79
  5. Step 5: Solve for x
    x = 19,281,596,235.79/129,016.69
  6. Step 6: Final answer
    x = 149,450.41

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.