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Finding the Third Proportional to 91.50 and 212.13

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Solution

The third proportional to 91.50 and 212.13 is: 491.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    91.50 : 212.13 = 212.13 : x
  2. Step 2: Convert to fraction form
    91.50/212.13 = 212.13/x
  3. Step 3: Cross multiply
    91.50x = 212.13 × 212.13
  4. Step 4: Simplify right side
    91.50x = 44,997.02
  5. Step 5: Solve for x
    x = 44,997.02/91.50
  6. Step 6: Final answer
    x = 491.77

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.