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Finding the Third Proportional to 31,887 and 67,231.13

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Solution

The third proportional to 31,887 and 67,231.13 is: 141,751.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,887 : 67,231.13 = 67,231.13 : x
  2. Step 2: Convert to fraction form
    31,887/67,231.13 = 67,231.13/x
  3. Step 3: Cross multiply
    31,887x = 67,231.13 × 67,231.13
  4. Step 4: Simplify right side
    31,887x = 4,520,024,168.77
  5. Step 5: Solve for x
    x = 4,520,024,168.77/31,887
  6. Step 6: Final answer
    x = 141,751.31

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.