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Finding the Third Proportional to 76,940 and 165,382

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Solution

The third proportional to 76,940 and 165,382 is: 355,487.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,940 : 165,382 = 165,382 : x
  2. Step 2: Convert to fraction form
    76,940/165,382 = 165,382/x
  3. Step 3: Cross multiply
    76,940x = 165,382 × 165,382
  4. Step 4: Simplify right side
    76,940x = 27,351,205,924
  5. Step 5: Solve for x
    x = 27,351,205,924/76,940
  6. Step 6: Final answer
    x = 355,487.47

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.