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Finding the Third Proportional to 968.20 and 1,520.65

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Solution

The third proportional to 968.20 and 1,520.65 is: 2,388.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    968.20 : 1,520.65 = 1,520.65 : x
  2. Step 2: Convert to fraction form
    968.20/1,520.65 = 1,520.65/x
  3. Step 3: Cross multiply
    968.20x = 1,520.65 × 1,520.65
  4. Step 4: Simplify right side
    968.20x = 2,312,371.67
  5. Step 5: Solve for x
    x = 2,312,371.67/968.20
  6. Step 6: Final answer
    x = 2,388.31

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.