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Finding the Third Proportional to 63,904.78 and 138,387.09

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Solution

The third proportional to 63,904.78 and 138,387.09 is: 299,680.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,904.78 : 138,387.09 = 138,387.09 : x
  2. Step 2: Convert to fraction form
    63,904.78/138,387.09 = 138,387.09/x
  3. Step 3: Cross multiply
    63,904.78x = 138,387.09 × 138,387.09
  4. Step 4: Simplify right side
    63,904.78x = 19,150,987,716.57
  5. Step 5: Solve for x
    x = 19,150,987,716.57/63,904.78
  6. Step 6: Final answer
    x = 299,680.04

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.