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Finding the Third Proportional to 561.50 and 815

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Solution

The third proportional to 561.50 and 815 is: 1,182.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.50 : 815 = 815 : x
  2. Step 2: Convert to fraction form
    561.50/815 = 815/x
  3. Step 3: Cross multiply
    561.50x = 815 × 815
  4. Step 4: Simplify right side
    561.50x = 664,225
  5. Step 5: Solve for x
    x = 664,225/561.50
  6. Step 6: Final answer
    x = 1,182.95

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.