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Finding the Third Proportional to 20,120 and 31,091

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Solution

The third proportional to 20,120 and 31,091 is: 48,044.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,120 : 31,091 = 31,091 : x
  2. Step 2: Convert to fraction form
    20,120/31,091 = 31,091/x
  3. Step 3: Cross multiply
    20,120x = 31,091 × 31,091
  4. Step 4: Simplify right side
    20,120x = 966,650,281
  5. Step 5: Solve for x
    x = 966,650,281/20,120
  6. Step 6: Final answer
    x = 48,044.25

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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.