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Finding the Third Proportional to 869.34 and 1,862.34

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Solution

The third proportional to 869.34 and 1,862.34 is: 3,989.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    869.34 : 1,862.34 = 1,862.34 : x
  2. Step 2: Convert to fraction form
    869.34/1,862.34 = 1,862.34/x
  3. Step 3: Cross multiply
    869.34x = 1,862.34 × 1,862.34
  4. Step 4: Simplify right side
    869.34x = 3,468,324.24
  5. Step 5: Solve for x
    x = 3,468,324.24/869.34
  6. Step 6: Final answer
    x = 3,989.59

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.