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Finding the Third Proportional to 69,221.25 and 136,387.13

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Solution

The third proportional to 69,221.25 and 136,387.13 is: 268,724.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,221.25 : 136,387.13 = 136,387.13 : x
  2. Step 2: Convert to fraction form
    69,221.25/136,387.13 = 136,387.13/x
  3. Step 3: Cross multiply
    69,221.25x = 136,387.13 × 136,387.13
  4. Step 4: Simplify right side
    69,221.25x = 18,601,447,865.77
  5. Step 5: Solve for x
    x = 18,601,447,865.77/69,221.25
  6. Step 6: Final answer
    x = 268,724.53

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.