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Finding the Third Proportional to 861.47 and 1,285.88

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Solution

The third proportional to 861.47 and 1,285.88 is: 1,919.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    861.47 : 1,285.88 = 1,285.88 : x
  2. Step 2: Convert to fraction form
    861.47/1,285.88 = 1,285.88/x
  3. Step 3: Cross multiply
    861.47x = 1,285.88 × 1,285.88
  4. Step 4: Simplify right side
    861.47x = 1,653,474.52
  5. Step 5: Solve for x
    x = 1,653,474.52/861.47
  6. Step 6: Final answer
    x = 1,919.37

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.