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Finding the Third Proportional to 63,591 and 138,117

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Solution

The third proportional to 63,591 and 138,117 is: 299,984.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,591 : 138,117 = 138,117 : x
  2. Step 2: Convert to fraction form
    63,591/138,117 = 138,117/x
  3. Step 3: Cross multiply
    63,591x = 138,117 × 138,117
  4. Step 4: Simplify right side
    63,591x = 19,076,305,689
  5. Step 5: Solve for x
    x = 19,076,305,689/63,591
  6. Step 6: Final answer
    x = 299,984.36

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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.