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Finding the Third Proportional to 689.91 and 1,520.30

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Solution

The third proportional to 689.91 and 1,520.30 is: 3,350.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.91 : 1,520.30 = 1,520.30 : x
  2. Step 2: Convert to fraction form
    689.91/1,520.30 = 1,520.30/x
  3. Step 3: Cross multiply
    689.91x = 1,520.30 × 1,520.30
  4. Step 4: Simplify right side
    689.91x = 2,311,302.59
  5. Step 5: Solve for x
    x = 2,311,302.59/689.91
  6. Step 6: Final answer
    x = 3,350.17

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.