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Finding the Third Proportional to 869.20 and 1,874.95

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Solution

The third proportional to 869.20 and 1,874.95 is: 4,044.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    869.20 : 1,874.95 = 1,874.95 : x
  2. Step 2: Convert to fraction form
    869.20/1,874.95 = 1,874.95/x
  3. Step 3: Cross multiply
    869.20x = 1,874.95 × 1,874.95
  4. Step 4: Simplify right side
    869.20x = 3,515,449.22
  5. Step 5: Solve for x
    x = 3,515,449.22/869.20
  6. Step 6: Final answer
    x = 4,044.45

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.