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Finding the Third Proportional to 726.33 and 1,555.17

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Solution

The third proportional to 726.33 and 1,555.17 is: 3,329.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    726.33 : 1,555.17 = 1,555.17 : x
  2. Step 2: Convert to fraction form
    726.33/1,555.17 = 1,555.17/x
  3. Step 3: Cross multiply
    726.33x = 1,555.17 × 1,555.17
  4. Step 4: Simplify right side
    726.33x = 2,418,559.56
  5. Step 5: Solve for x
    x = 2,418,559.56/726.33
  6. Step 6: Final answer
    x = 3,329.84

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.