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Finding the Third Proportional to 90.18 and 193.17

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Solution

The third proportional to 90.18 and 193.17 is: 413.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    90.18 : 193.17 = 193.17 : x
  2. Step 2: Convert to fraction form
    90.18/193.17 = 193.17/x
  3. Step 3: Cross multiply
    90.18x = 193.17 × 193.17
  4. Step 4: Simplify right side
    90.18x = 37,313.11
  5. Step 5: Solve for x
    x = 37,313.11/90.18
  6. Step 6: Final answer
    x = 413.78

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.