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Finding the Third Proportional to 327.52 and 686.95

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Solution

The third proportional to 327.52 and 686.95 is: 1,440.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.52 : 686.95 = 686.95 : x
  2. Step 2: Convert to fraction form
    327.52/686.95 = 686.95/x
  3. Step 3: Cross multiply
    327.52x = 686.95 × 686.95
  4. Step 4: Simplify right side
    327.52x = 471,904.60
  5. Step 5: Solve for x
    x = 471,904.60/327.52
  6. Step 6: Final answer
    x = 1,440.86

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.