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Finding the Third Proportional to 154.25 and 216.90

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Solution

The third proportional to 154.25 and 216.90 is: 304.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.25 : 216.90 = 216.90 : x
  2. Step 2: Convert to fraction form
    154.25/216.90 = 216.90/x
  3. Step 3: Cross multiply
    154.25x = 216.90 × 216.90
  4. Step 4: Simplify right side
    154.25x = 47,044.08
  5. Step 5: Solve for x
    x = 47,044.08/154.25
  6. Step 6: Final answer
    x = 304.99

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.