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Finding the Third Proportional to 663.56 and 872.91

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Solution

The third proportional to 663.56 and 872.91 is: 1,148.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.56 : 872.91 = 872.91 : x
  2. Step 2: Convert to fraction form
    663.56/872.91 = 872.91/x
  3. Step 3: Cross multiply
    663.56x = 872.91 × 872.91
  4. Step 4: Simplify right side
    663.56x = 761,965.32
  5. Step 5: Solve for x
    x = 761,965.32/663.56
  6. Step 6: Final answer
    x = 1,148.29

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.