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Finding the Third Proportional to 31,808 and 69,331

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Solution

The third proportional to 31,808 and 69,331 is: 151,118.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,808 : 69,331 = 69,331 : x
  2. Step 2: Convert to fraction form
    31,808/69,331 = 69,331/x
  3. Step 3: Cross multiply
    31,808x = 69,331 × 69,331
  4. Step 4: Simplify right side
    31,808x = 4,806,787,561
  5. Step 5: Solve for x
    x = 4,806,787,561/31,808
  6. Step 6: Final answer
    x = 151,118.82

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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.