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Finding the Third Proportional to 3,439.13 and 3,763.13

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Solution

The third proportional to 3,439.13 and 3,763.13 is: 4,117.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,439.13 : 3,763.13 = 3,763.13 : x
  2. Step 2: Convert to fraction form
    3,439.13/3,763.13 = 3,763.13/x
  3. Step 3: Cross multiply
    3,439.13x = 3,763.13 × 3,763.13
  4. Step 4: Simplify right side
    3,439.13x = 14,161,109.77
  5. Step 5: Solve for x
    x = 14,161,109.77/3,439.13
  6. Step 6: Final answer
    x = 4,117.65

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.