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Finding the Third Proportional to 63,960 and 138,132

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Solution

The third proportional to 63,960 and 138,132 is: 298,318.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,960 : 138,132 = 138,132 : x
  2. Step 2: Convert to fraction form
    63,960/138,132 = 138,132/x
  3. Step 3: Cross multiply
    63,960x = 138,132 × 138,132
  4. Step 4: Simplify right side
    63,960x = 19,080,449,424
  5. Step 5: Solve for x
    x = 19,080,449,424/63,960
  6. Step 6: Final answer
    x = 298,318.47

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.