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Finding the Third Proportional to 726.47 and 1,079.58

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Solution

The third proportional to 726.47 and 1,079.58 is: 1,604.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    726.47 : 1,079.58 = 1,079.58 : x
  2. Step 2: Convert to fraction form
    726.47/1,079.58 = 1,079.58/x
  3. Step 3: Cross multiply
    726.47x = 1,079.58 × 1,079.58
  4. Step 4: Simplify right side
    726.47x = 1,165,488.93
  5. Step 5: Solve for x
    x = 1,165,488.93/726.47
  6. Step 6: Final answer
    x = 1,604.32

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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.