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Finding the Third Proportional to 31,802 and 69,072

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Solution

The third proportional to 31,802 and 69,072 is: 150,020.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,802 : 69,072 = 69,072 : x
  2. Step 2: Convert to fraction form
    31,802/69,072 = 69,072/x
  3. Step 3: Cross multiply
    31,802x = 69,072 × 69,072
  4. Step 4: Simplify right side
    31,802x = 4,770,941,184
  5. Step 5: Solve for x
    x = 4,770,941,184/31,802
  6. Step 6: Final answer
    x = 150,020.16

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.