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Finding the Third Proportional to 20,090 and 31,107

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Solution

The third proportional to 20,090 and 31,107 is: 48,165.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,090 : 31,107 = 31,107 : x
  2. Step 2: Convert to fraction form
    20,090/31,107 = 31,107/x
  3. Step 3: Cross multiply
    20,090x = 31,107 × 31,107
  4. Step 4: Simplify right side
    20,090x = 967,645,449
  5. Step 5: Solve for x
    x = 967,645,449/20,090
  6. Step 6: Final answer
    x = 48,165.53

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1.5x scale

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.