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Finding the Third Proportional to 31,530.75 and 68,711.25

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Solution

The third proportional to 31,530.75 and 68,711.25 is: 149,734.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,530.75 : 68,711.25 = 68,711.25 : x
  2. Step 2: Convert to fraction form
    31,530.75/68,711.25 = 68,711.25/x
  3. Step 3: Cross multiply
    31,530.75x = 68,711.25 × 68,711.25
  4. Step 4: Simplify right side
    31,530.75x = 4,721,235,876.56
  5. Step 5: Solve for x
    x = 4,721,235,876.56/31,530.75
  6. Step 6: Final answer
    x = 149,734.33

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.