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Finding the Third Proportional to 192.31 and 423.13

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Solution

The third proportional to 192.31 and 423.13 is: 930.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.31 : 423.13 = 423.13 : x
  2. Step 2: Convert to fraction form
    192.31/423.13 = 423.13/x
  3. Step 3: Cross multiply
    192.31x = 423.13 × 423.13
  4. Step 4: Simplify right side
    192.31x = 179,034.77
  5. Step 5: Solve for x
    x = 179,034.77/192.31
  6. Step 6: Final answer
    x = 930.96

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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.