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Finding the Third Proportional to 862.37 and 1,377.95

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Solution

The third proportional to 862.37 and 1,377.95 is: 2,201.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    862.37 : 1,377.95 = 1,377.95 : x
  2. Step 2: Convert to fraction form
    862.37/1,377.95 = 1,377.95/x
  3. Step 3: Cross multiply
    862.37x = 1,377.95 × 1,377.95
  4. Step 4: Simplify right side
    862.37x = 1,898,744.05
  5. Step 5: Solve for x
    x = 1,898,744.05/862.37
  6. Step 6: Final answer
    x = 2,201.79

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.