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Finding the Third Proportional to 829.31 and 1,126.88

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Solution

The third proportional to 829.31 and 1,126.88 is: 1,531.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.31 : 1,126.88 = 1,126.88 : x
  2. Step 2: Convert to fraction form
    829.31/1,126.88 = 1,126.88/x
  3. Step 3: Cross multiply
    829.31x = 1,126.88 × 1,126.88
  4. Step 4: Simplify right side
    829.31x = 1,269,847.27
  5. Step 5: Solve for x
    x = 1,269,847.27/829.31
  6. Step 6: Final answer
    x = 1,531.20

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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.