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Finding the Third Proportional to 280.88 and 652.88

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Solution

The third proportional to 280.88 and 652.88 is: 1,517.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.88 : 652.88 = 652.88 : x
  2. Step 2: Convert to fraction form
    280.88/652.88 = 652.88/x
  3. Step 3: Cross multiply
    280.88x = 652.88 × 652.88
  4. Step 4: Simplify right side
    280.88x = 426,245.77
  5. Step 5: Solve for x
    x = 426,245.77/280.88
  6. Step 6: Final answer
    x = 1,517.56

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.