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Finding the Third Proportional to 726.15 and 1,089.23

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Solution

The third proportional to 726.15 and 1,089.23 is: 1,633.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    726.15 : 1,089.23 = 1,089.23 : x
  2. Step 2: Convert to fraction form
    726.15/1,089.23 = 1,089.23/x
  3. Step 3: Cross multiply
    726.15x = 1,089.23 × 1,089.23
  4. Step 4: Simplify right side
    726.15x = 1,186,418.76
  5. Step 5: Solve for x
    x = 1,186,418.76/726.15
  6. Step 6: Final answer
    x = 1,633.84

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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.