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Finding the Third Proportional to 861.05 and 1,327.92

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Solution

The third proportional to 861.05 and 1,327.92 is: 2,047.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    861.05 : 1,327.92 = 1,327.92 : x
  2. Step 2: Convert to fraction form
    861.05/1,327.92 = 1,327.92/x
  3. Step 3: Cross multiply
    861.05x = 1,327.92 × 1,327.92
  4. Step 4: Simplify right side
    861.05x = 1,763,376.51
  5. Step 5: Solve for x
    x = 1,763,376.51/861.05
  6. Step 6: Final answer
    x = 2,047.94

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.