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Finding the Third Proportional to 651.75 and 873.19

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Solution

The third proportional to 651.75 and 873.19 is: 1,169.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.75 : 873.19 = 873.19 : x
  2. Step 2: Convert to fraction form
    651.75/873.19 = 873.19/x
  3. Step 3: Cross multiply
    651.75x = 873.19 × 873.19
  4. Step 4: Simplify right side
    651.75x = 762,456.41
  5. Step 5: Solve for x
    x = 762,456.41/651.75
  6. Step 6: Final answer
    x = 1,169.86

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.