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Finding the Third Proportional to 866.53 and 1,296.84

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Solution

The third proportional to 866.53 and 1,296.84 is: 1,940.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    866.53 : 1,296.84 = 1,296.84 : x
  2. Step 2: Convert to fraction form
    866.53/1,296.84 = 1,296.84/x
  3. Step 3: Cross multiply
    866.53x = 1,296.84 × 1,296.84
  4. Step 4: Simplify right side
    866.53x = 1,681,803.71
  5. Step 5: Solve for x
    x = 1,681,803.71/866.53
  6. Step 6: Final answer
    x = 1,940.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.