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Finding the Third Proportional to 861.89 and 1,370.67

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Solution

The third proportional to 861.89 and 1,370.67 is: 2,179.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    861.89 : 1,370.67 = 1,370.67 : x
  2. Step 2: Convert to fraction form
    861.89/1,370.67 = 1,370.67/x
  3. Step 3: Cross multiply
    861.89x = 1,370.67 × 1,370.67
  4. Step 4: Simplify right side
    861.89x = 1,878,741.39
  5. Step 5: Solve for x
    x = 1,878,741.39/861.89
  6. Step 6: Final answer
    x = 2,179.79

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.