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Finding the Third Proportional to 861.56 and 1,857.56

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Solution

The third proportional to 861.56 and 1,857.56 is: 4,004.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    861.56 : 1,857.56 = 1,857.56 : x
  2. Step 2: Convert to fraction form
    861.56/1,857.56 = 1,857.56/x
  3. Step 3: Cross multiply
    861.56x = 1,857.56 × 1,857.56
  4. Step 4: Simplify right side
    861.56x = 3,450,538.44
  5. Step 5: Solve for x
    x = 3,450,538.44/861.56
  6. Step 6: Final answer
    x = 4,004.98

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.