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Finding the Third Proportional to 2,323.13 and 3,732.19

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Solution

The third proportional to 2,323.13 and 3,732.19 is: 5,995.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,323.13 : 3,732.19 = 3,732.19 : x
  2. Step 2: Convert to fraction form
    2,323.13/3,732.19 = 3,732.19/x
  3. Step 3: Cross multiply
    2,323.13x = 3,732.19 × 3,732.19
  4. Step 4: Simplify right side
    2,323.13x = 13,929,223.54
  5. Step 5: Solve for x
    x = 13,929,223.54/2,323.13
  6. Step 6: Final answer
    x = 5,995.90

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.