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Finding the Third Proportional to 861.19 and 1,832.06

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Solution

The third proportional to 861.19 and 1,832.06 is: 3,897.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    861.19 : 1,832.06 = 1,832.06 : x
  2. Step 2: Convert to fraction form
    861.19/1,832.06 = 1,832.06/x
  3. Step 3: Cross multiply
    861.19x = 1,832.06 × 1,832.06
  4. Step 4: Simplify right side
    861.19x = 3,356,453.00
  5. Step 5: Solve for x
    x = 3,356,453.00/861.19
  6. Step 6: Final answer
    x = 3,897.47

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.