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Finding the Third Proportional to 280.88 and 614.94

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Solution

The third proportional to 280.88 and 614.94 is: 1,346.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.88 : 614.94 = 614.94 : x
  2. Step 2: Convert to fraction form
    280.88/614.94 = 614.94/x
  3. Step 3: Cross multiply
    280.88x = 614.94 × 614.94
  4. Step 4: Simplify right side
    280.88x = 378,148.13
  5. Step 5: Solve for x
    x = 378,148.13/280.88
  6. Step 6: Final answer
    x = 1,346.32

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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.