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Finding the Third Proportional to 861.19 and 1,315.69

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Solution

The third proportional to 861.19 and 1,315.69 is: 2,010.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    861.19 : 1,315.69 = 1,315.69 : x
  2. Step 2: Convert to fraction form
    861.19/1,315.69 = 1,315.69/x
  3. Step 3: Cross multiply
    861.19x = 1,315.69 × 1,315.69
  4. Step 4: Simplify right side
    861.19x = 1,731,033.60
  5. Step 5: Solve for x
    x = 1,731,033.60/861.19
  6. Step 6: Final answer
    x = 2,010.05

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.