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Finding the Third Proportional to 866.13 and 1,652.44

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Solution

The third proportional to 866.13 and 1,652.44 is: 3,152.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    866.13 : 1,652.44 = 1,652.44 : x
  2. Step 2: Convert to fraction form
    866.13/1,652.44 = 1,652.44/x
  3. Step 3: Cross multiply
    866.13x = 1,652.44 × 1,652.44
  4. Step 4: Simplify right side
    866.13x = 2,730,549.69
  5. Step 5: Solve for x
    x = 2,730,549.69/866.13
  6. Step 6: Final answer
    x = 3,152.60

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.