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Finding the Third Proportional to 63,909 and 137,835

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Solution

The third proportional to 63,909 and 137,835 is: 297,274.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,909 : 137,835 = 137,835 : x
  2. Step 2: Convert to fraction form
    63,909/137,835 = 137,835/x
  3. Step 3: Cross multiply
    63,909x = 137,835 × 137,835
  4. Step 4: Simplify right side
    63,909x = 18,998,487,225
  5. Step 5: Solve for x
    x = 18,998,487,225/63,909
  6. Step 6: Final answer
    x = 297,274.05

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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.