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Finding the Third Proportional to 75.98 and 169.08

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Solution

The third proportional to 75.98 and 169.08 is: 376.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.98 : 169.08 = 169.08 : x
  2. Step 2: Convert to fraction form
    75.98/169.08 = 169.08/x
  3. Step 3: Cross multiply
    75.98x = 169.08 × 169.08
  4. Step 4: Simplify right side
    75.98x = 28,587.41
  5. Step 5: Solve for x
    x = 28,587.41/75.98
  6. Step 6: Final answer
    x = 376.23

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.