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Finding the Third Proportional to 2,589.38 and 3,497.06

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Solution

The third proportional to 2,589.38 and 3,497.06 is: 4,722.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,589.38 : 3,497.06 = 3,497.06 : x
  2. Step 2: Convert to fraction form
    2,589.38/3,497.06 = 3,497.06/x
  3. Step 3: Cross multiply
    2,589.38x = 3,497.06 × 3,497.06
  4. Step 4: Simplify right side
    2,589.38x = 12,229,446.13
  5. Step 5: Solve for x
    x = 12,229,446.13/2,589.38
  6. Step 6: Final answer
    x = 4,722.93

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.