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Finding the Third Proportional to 31,533 and 67,239

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Solution

The third proportional to 31,533 and 67,239 is: 143,376.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,533 : 67,239 = 67,239 : x
  2. Step 2: Convert to fraction form
    31,533/67,239 = 67,239/x
  3. Step 3: Cross multiply
    31,533x = 67,239 × 67,239
  4. Step 4: Simplify right side
    31,533x = 4,521,083,121
  5. Step 5: Solve for x
    x = 4,521,083,121/31,533
  6. Step 6: Final answer
    x = 143,376.24

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.