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Finding the Third Proportional to 20,431.13 and 31,767.75

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Solution

The third proportional to 20,431.13 and 31,767.75 is: 49,394.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,431.13 : 31,767.75 = 31,767.75 : x
  2. Step 2: Convert to fraction form
    20,431.13/31,767.75 = 31,767.75/x
  3. Step 3: Cross multiply
    20,431.13x = 31,767.75 × 31,767.75
  4. Step 4: Simplify right side
    20,431.13x = 1,009,189,940.06
  5. Step 5: Solve for x
    x = 1,009,189,940.06/20,431.13
  6. Step 6: Final answer
    x = 49,394.73

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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.