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Finding the Third Proportional to 861.89 and 1,869.64

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Solution

The third proportional to 861.89 and 1,869.64 is: 4,055.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    861.89 : 1,869.64 = 1,869.64 : x
  2. Step 2: Convert to fraction form
    861.89/1,869.64 = 1,869.64/x
  3. Step 3: Cross multiply
    861.89x = 1,869.64 × 1,869.64
  4. Step 4: Simplify right side
    861.89x = 3,495,570.67
  5. Step 5: Solve for x
    x = 3,495,570.67/861.89
  6. Step 6: Final answer
    x = 4,055.70

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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.