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Finding the Third Proportional to 192.38 and 423.28

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Solution

The third proportional to 192.38 and 423.28 is: 931.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.38 : 423.28 = 423.28 : x
  2. Step 2: Convert to fraction form
    192.38/423.28 = 423.28/x
  3. Step 3: Cross multiply
    192.38x = 423.28 × 423.28
  4. Step 4: Simplify right side
    192.38x = 179,167.02
  5. Step 5: Solve for x
    x = 179,167.02/192.38
  6. Step 6: Final answer
    x = 931.34

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.