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Finding the Third Proportional to 90.49 and 211.36

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Solution

The third proportional to 90.49 and 211.36 is: 493.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    90.49 : 211.36 = 211.36 : x
  2. Step 2: Convert to fraction form
    90.49/211.36 = 211.36/x
  3. Step 3: Cross multiply
    90.49x = 211.36 × 211.36
  4. Step 4: Simplify right side
    90.49x = 44,672.79
  5. Step 5: Solve for x
    x = 44,672.79/90.49
  6. Step 6: Final answer
    x = 493.66

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.