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Finding the Third Proportional to 775.50 and 861

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Solution

The third proportional to 775.50 and 861 is: 955.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.50 : 861 = 861 : x
  2. Step 2: Convert to fraction form
    775.50/861 = 861/x
  3. Step 3: Cross multiply
    775.50x = 861 × 861
  4. Step 4: Simplify right side
    775.50x = 741,321
  5. Step 5: Solve for x
    x = 741,321/775.50
  6. Step 6: Final answer
    x = 955.93

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.