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Finding the Third Proportional to 63,979 and 135,340

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Solution

The third proportional to 63,979 and 135,340 is: 286,295.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,979 : 135,340 = 135,340 : x
  2. Step 2: Convert to fraction form
    63,979/135,340 = 135,340/x
  3. Step 3: Cross multiply
    63,979x = 135,340 × 135,340
  4. Step 4: Simplify right side
    63,979x = 18,316,915,600
  5. Step 5: Solve for x
    x = 18,316,915,600/63,979
  6. Step 6: Final answer
    x = 286,295.75

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.