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Finding the Third Proportional to 215,540 and 326,295

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Solution

The third proportional to 215,540 and 326,295 is: 493,961.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,540 : 326,295 = 326,295 : x
  2. Step 2: Convert to fraction form
    215,540/326,295 = 326,295/x
  3. Step 3: Cross multiply
    215,540x = 326,295 × 326,295
  4. Step 4: Simplify right side
    215,540x = 106,468,427,025
  5. Step 5: Solve for x
    x = 106,468,427,025/215,540
  6. Step 6: Final answer
    x = 493,961.34

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.