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Finding the Third Proportional to 31,207 and 73,239

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Solution

The third proportional to 31,207 and 73,239 is: 171,882.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,207 : 73,239 = 73,239 : x
  2. Step 2: Convert to fraction form
    31,207/73,239 = 73,239/x
  3. Step 3: Cross multiply
    31,207x = 73,239 × 73,239
  4. Step 4: Simplify right side
    31,207x = 5,363,951,121
  5. Step 5: Solve for x
    x = 5,363,951,121/31,207
  6. Step 6: Final answer
    x = 171,882.95

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.