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Finding the Third Proportional to 280.72 and 615.44

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Solution

The third proportional to 280.72 and 615.44 is: 1,349.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.72 : 615.44 = 615.44 : x
  2. Step 2: Convert to fraction form
    280.72/615.44 = 615.44/x
  3. Step 3: Cross multiply
    280.72x = 615.44 × 615.44
  4. Step 4: Simplify right side
    280.72x = 378,763.32
  5. Step 5: Solve for x
    x = 378,763.32/280.72
  6. Step 6: Final answer
    x = 1,349.26

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.