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Finding the Third Proportional to 91.69 and 203.63

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Solution

The third proportional to 91.69 and 203.63 is: 452.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    91.69 : 203.63 = 203.63 : x
  2. Step 2: Convert to fraction form
    91.69/203.63 = 203.63/x
  3. Step 3: Cross multiply
    91.69x = 203.63 × 203.63
  4. Step 4: Simplify right side
    91.69x = 41,463.14
  5. Step 5: Solve for x
    x = 41,463.14/91.69
  6. Step 6: Final answer
    x = 452.22

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.