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Finding the Third Proportional to 561.96 and 850.74

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Solution

The third proportional to 561.96 and 850.74 is: 1,287.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.96 : 850.74 = 850.74 : x
  2. Step 2: Convert to fraction form
    561.96/850.74 = 850.74/x
  3. Step 3: Cross multiply
    561.96x = 850.74 × 850.74
  4. Step 4: Simplify right side
    561.96x = 723,766.42
  5. Step 5: Solve for x
    x = 723,766.42/561.96
  6. Step 6: Final answer
    x = 1,287.94

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.