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Finding the Third Proportional to 2,234.25 and 2,938.08

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Solution

The third proportional to 2,234.25 and 2,938.08 is: 3,863.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,234.25 : 2,938.08 = 2,938.08 : x
  2. Step 2: Convert to fraction form
    2,234.25/2,938.08 = 2,938.08/x
  3. Step 3: Cross multiply
    2,234.25x = 2,938.08 × 2,938.08
  4. Step 4: Simplify right side
    2,234.25x = 8,632,303.07
  5. Step 5: Solve for x
    x = 8,632,303.07/2,234.25
  6. Step 6: Final answer
    x = 3,863.62

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.