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Finding the Third Proportional to 1,520.65 and 3,278.60

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Solution

The third proportional to 1,520.65 and 3,278.60 is: 7,068.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,520.65 : 3,278.60 = 3,278.60 : x
  2. Step 2: Convert to fraction form
    1,520.65/3,278.60 = 3,278.60/x
  3. Step 3: Cross multiply
    1,520.65x = 3,278.60 × 3,278.60
  4. Step 4: Simplify right side
    1,520.65x = 10,749,228.21
  5. Step 5: Solve for x
    x = 10,749,228.21/1,520.65
  6. Step 6: Final answer
    x = 7,068.85

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.