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Finding the Third Proportional to 861.19 and 1,865.60

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Solution

The third proportional to 861.19 and 1,865.60 is: 4,041.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    861.19 : 1,865.60 = 1,865.60 : x
  2. Step 2: Convert to fraction form
    861.19/1,865.60 = 1,865.60/x
  3. Step 3: Cross multiply
    861.19x = 1,865.60 × 1,865.60
  4. Step 4: Simplify right side
    861.19x = 3,480,469.19
  5. Step 5: Solve for x
    x = 3,480,469.19/861.19
  6. Step 6: Final answer
    x = 4,041.48

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.