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Finding the Third Proportional to 31,080 and 69,176

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Solution

The third proportional to 31,080 and 69,176 is: 153,967.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,080 : 69,176 = 69,176 : x
  2. Step 2: Convert to fraction form
    31,080/69,176 = 69,176/x
  3. Step 3: Cross multiply
    31,080x = 69,176 × 69,176
  4. Step 4: Simplify right side
    31,080x = 4,785,318,976
  5. Step 5: Solve for x
    x = 4,785,318,976/31,080
  6. Step 6: Final answer
    x = 153,967.79

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.