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Finding the Third Proportional to 259.77 and 415.44

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Solution

The third proportional to 259.77 and 415.44 is: 664.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.77 : 415.44 = 415.44 : x
  2. Step 2: Convert to fraction form
    259.77/415.44 = 415.44/x
  3. Step 3: Cross multiply
    259.77x = 415.44 × 415.44
  4. Step 4: Simplify right side
    259.77x = 172,591.56
  5. Step 5: Solve for x
    x = 172,591.56/259.77
  6. Step 6: Final answer
    x = 664.40

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.