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Finding the Third Proportional to 726.19 and 1,643.06

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Solution

The third proportional to 726.19 and 1,643.06 is: 3,717.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    726.19 : 1,643.06 = 1,643.06 : x
  2. Step 2: Convert to fraction form
    726.19/1,643.06 = 1,643.06/x
  3. Step 3: Cross multiply
    726.19x = 1,643.06 × 1,643.06
  4. Step 4: Simplify right side
    726.19x = 2,699,654.38
  5. Step 5: Solve for x
    x = 2,699,654.38/726.19
  6. Step 6: Final answer
    x = 3,717.57

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.