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Finding the Third Proportional to 724.36 and 1,089.91

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Solution

The third proportional to 724.36 and 1,089.91 is: 1,639.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.36 : 1,089.91 = 1,089.91 : x
  2. Step 2: Convert to fraction form
    724.36/1,089.91 = 1,089.91/x
  3. Step 3: Cross multiply
    724.36x = 1,089.91 × 1,089.91
  4. Step 4: Simplify right side
    724.36x = 1,187,912.66
  5. Step 5: Solve for x
    x = 1,187,912.66/724.36
  6. Step 6: Final answer
    x = 1,639.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.