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Finding the Third Proportional to 766.50 and 1,044.25

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Solution

The third proportional to 766.50 and 1,044.25 is: 1,422.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    766.50 : 1,044.25 = 1,044.25 : x
  2. Step 2: Convert to fraction form
    766.50/1,044.25 = 1,044.25/x
  3. Step 3: Cross multiply
    766.50x = 1,044.25 × 1,044.25
  4. Step 4: Simplify right side
    766.50x = 1,090,458.06
  5. Step 5: Solve for x
    x = 1,090,458.06/766.50
  6. Step 6: Final answer
    x = 1,422.65

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.