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Finding the Third Proportional to 62,697 and 135,620

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Solution

The third proportional to 62,697 and 135,620 is: 293,359.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,697 : 135,620 = 135,620 : x
  2. Step 2: Convert to fraction form
    62,697/135,620 = 135,620/x
  3. Step 3: Cross multiply
    62,697x = 135,620 × 135,620
  4. Step 4: Simplify right side
    62,697x = 18,392,784,400
  5. Step 5: Solve for x
    x = 18,392,784,400/62,697
  6. Step 6: Final answer
    x = 293,359.88

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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.