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Finding the Third Proportional to 560.28 and 611.53

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Solution

The third proportional to 560.28 and 611.53 is: 667.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.28 : 611.53 = 611.53 : x
  2. Step 2: Convert to fraction form
    560.28/611.53 = 611.53/x
  3. Step 3: Cross multiply
    560.28x = 611.53 × 611.53
  4. Step 4: Simplify right side
    560.28x = 373,974.05
  5. Step 5: Solve for x
    x = 373,974.05/560.28
  6. Step 6: Final answer
    x = 667.48

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.