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Finding the Third Proportional to 20,305.13 and 31,860

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Solution

The third proportional to 20,305.13 and 31,860 is: 49,990.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,305.13 : 31,860 = 31,860 : x
  2. Step 2: Convert to fraction form
    20,305.13/31,860 = 31,860/x
  3. Step 3: Cross multiply
    20,305.13x = 31,860 × 31,860
  4. Step 4: Simplify right side
    20,305.13x = 1,015,059,600
  5. Step 5: Solve for x
    x = 1,015,059,600/20,305.13
  6. Step 6: Final answer
    x = 49,990.32

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.