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Finding the Third Proportional to 68,474.25 and 108,651.38

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Solution

The third proportional to 68,474.25 and 108,651.38 is: 172,402.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,474.25 : 108,651.38 = 108,651.38 : x
  2. Step 2: Convert to fraction form
    68,474.25/108,651.38 = 108,651.38/x
  3. Step 3: Cross multiply
    68,474.25x = 108,651.38 × 108,651.38
  4. Step 4: Simplify right side
    68,474.25x = 11,805,121,289.39
  5. Step 5: Solve for x
    x = 11,805,121,289.39/68,474.25
  6. Step 6: Final answer
    x = 172,402.35

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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.