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Finding the Third Proportional to 67,034.25 and 138,708.38

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Solution

The third proportional to 67,034.25 and 138,708.38 is: 287,017.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,034.25 : 138,708.38 = 138,708.38 : x
  2. Step 2: Convert to fraction form
    67,034.25/138,708.38 = 138,708.38/x
  3. Step 3: Cross multiply
    67,034.25x = 138,708.38 × 138,708.38
  4. Step 4: Simplify right side
    67,034.25x = 19,240,013,295.14
  5. Step 5: Solve for x
    x = 19,240,013,295.14/67,034.25
  6. Step 6: Final answer
    x = 287,017.66

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.