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Finding the Third Proportional to 63,843.19 and 138,742.88

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Solution

The third proportional to 63,843.19 and 138,742.88 is: 301,513.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,843.19 : 138,742.88 = 138,742.88 : x
  2. Step 2: Convert to fraction form
    63,843.19/138,742.88 = 138,742.88/x
  3. Step 3: Cross multiply
    63,843.19x = 138,742.88 × 138,742.88
  4. Step 4: Simplify right side
    63,843.19x = 19,249,585,363.27
  5. Step 5: Solve for x
    x = 19,249,585,363.27/63,843.19
  6. Step 6: Final answer
    x = 301,513.54

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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.