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Finding the Third Proportional to 280.13 and 415.97

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Solution

The third proportional to 280.13 and 415.97 is: 617.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.13 : 415.97 = 415.97 : x
  2. Step 2: Convert to fraction form
    280.13/415.97 = 415.97/x
  3. Step 3: Cross multiply
    280.13x = 415.97 × 415.97
  4. Step 4: Simplify right side
    280.13x = 173,030.00
  5. Step 5: Solve for x
    x = 173,030.00/280.13
  6. Step 6: Final answer
    x = 617.69

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.