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Finding the Third Proportional to 40,340 and 62,720

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Solution

The third proportional to 40,340 and 62,720 is: 97,516.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,340 : 62,720 = 62,720 : x
  2. Step 2: Convert to fraction form
    40,340/62,720 = 62,720/x
  3. Step 3: Cross multiply
    40,340x = 62,720 × 62,720
  4. Step 4: Simplify right side
    40,340x = 3,933,798,400
  5. Step 5: Solve for x
    x = 3,933,798,400/40,340
  6. Step 6: Final answer
    x = 97,516.07

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.