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Finding the Third Proportional to 20,120 and 31,180

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Solution

The third proportional to 20,120 and 31,180 is: 48,319.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,120 : 31,180 = 31,180 : x
  2. Step 2: Convert to fraction form
    20,120/31,180 = 31,180/x
  3. Step 3: Cross multiply
    20,120x = 31,180 × 31,180
  4. Step 4: Simplify right side
    20,120x = 972,192,400
  5. Step 5: Solve for x
    x = 972,192,400/20,120
  6. Step 6: Final answer
    x = 48,319.70

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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.