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Finding the Third Proportional to 39,940 and 63,112

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Solution

The third proportional to 39,940 and 63,112 is: 99,727.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,940 : 63,112 = 63,112 : x
  2. Step 2: Convert to fraction form
    39,940/63,112 = 63,112/x
  3. Step 3: Cross multiply
    39,940x = 63,112 × 63,112
  4. Step 4: Simplify right side
    39,940x = 3,983,124,544
  5. Step 5: Solve for x
    x = 3,983,124,544/39,940
  6. Step 6: Final answer
    x = 99,727.71

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.