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Finding the Third Proportional to 158.25 and 212.91

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Solution

The third proportional to 158.25 and 212.91 is: 286.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    158.25 : 212.91 = 212.91 : x
  2. Step 2: Convert to fraction form
    158.25/212.91 = 212.91/x
  3. Step 3: Cross multiply
    158.25x = 212.91 × 212.91
  4. Step 4: Simplify right side
    158.25x = 45,329.07
  5. Step 5: Solve for x
    x = 45,329.07/158.25
  6. Step 6: Final answer
    x = 286.44

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.