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Finding the Third Proportional to 20,902 and 31,840

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Solution

The third proportional to 20,902 and 31,840 is: 48,501.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,902 : 31,840 = 31,840 : x
  2. Step 2: Convert to fraction form
    20,902/31,840 = 31,840/x
  3. Step 3: Cross multiply
    20,902x = 31,840 × 31,840
  4. Step 4: Simplify right side
    20,902x = 1,013,785,600
  5. Step 5: Solve for x
    x = 1,013,785,600/20,902
  6. Step 6: Final answer
    x = 48,501.85

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.