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Finding the Third Proportional to 560.25 and 836.44

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Solution

The third proportional to 560.25 and 836.44 is: 1,248.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.25 : 836.44 = 836.44 : x
  2. Step 2: Convert to fraction form
    560.25/836.44 = 836.44/x
  3. Step 3: Cross multiply
    560.25x = 836.44 × 836.44
  4. Step 4: Simplify right side
    560.25x = 699,627.69
  5. Step 5: Solve for x
    x = 699,627.69/560.25
  6. Step 6: Final answer
    x = 1,248.78

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.