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Finding the Third Proportional to 731.53 and 1,966.78

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Solution

The third proportional to 731.53 and 1,966.78 is: 5,287.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    731.53 : 1,966.78 = 1,966.78 : x
  2. Step 2: Convert to fraction form
    731.53/1,966.78 = 1,966.78/x
  3. Step 3: Cross multiply
    731.53x = 1,966.78 × 1,966.78
  4. Step 4: Simplify right side
    731.53x = 3,868,228.49
  5. Step 5: Solve for x
    x = 3,868,228.49/731.53
  6. Step 6: Final answer
    x = 5,287.85

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Why These Related Problems?

These problems maintain the same ratio (2.69) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.