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Finding the Third Proportional to 90.47 and 192.19

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Solution

The third proportional to 90.47 and 192.19 is: 408.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    90.47 : 192.19 = 192.19 : x
  2. Step 2: Convert to fraction form
    90.47/192.19 = 192.19/x
  3. Step 3: Cross multiply
    90.47x = 192.19 × 192.19
  4. Step 4: Simplify right side
    90.47x = 36,936.04
  5. Step 5: Solve for x
    x = 36,936.04/90.47
  6. Step 6: Final answer
    x = 408.27

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.