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Finding the Third Proportional to 2,489.20 and 3,602.67

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Solution

The third proportional to 2,489.20 and 3,602.67 is: 5,214.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,489.20 : 3,602.67 = 3,602.67 : x
  2. Step 2: Convert to fraction form
    2,489.20/3,602.67 = 3,602.67/x
  3. Step 3: Cross multiply
    2,489.20x = 3,602.67 × 3,602.67
  4. Step 4: Simplify right side
    2,489.20x = 12,979,244.64
  5. Step 5: Solve for x
    x = 12,979,244.64/2,489.20
  6. Step 6: Final answer
    x = 5,214.22

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.