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Finding the Third Proportional to 158.97 and 266.19

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Solution

The third proportional to 158.97 and 266.19 is: 445.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    158.97 : 266.19 = 266.19 : x
  2. Step 2: Convert to fraction form
    158.97/266.19 = 266.19/x
  3. Step 3: Cross multiply
    158.97x = 266.19 × 266.19
  4. Step 4: Simplify right side
    158.97x = 70,855.79
  5. Step 5: Solve for x
    x = 70,855.79/158.97
  6. Step 6: Final answer
    x = 445.72

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.