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Finding the Third Proportional to 31,712 and 49,171

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Solution

The third proportional to 31,712 and 49,171 is: 76,242.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,712 : 49,171 = 49,171 : x
  2. Step 2: Convert to fraction form
    31,712/49,171 = 49,171/x
  3. Step 3: Cross multiply
    31,712x = 49,171 × 49,171
  4. Step 4: Simplify right side
    31,712x = 2,417,787,241
  5. Step 5: Solve for x
    x = 2,417,787,241/31,712
  6. Step 6: Final answer
    x = 76,242.03

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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.