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Finding the Third Proportional to 192.38 and 287.30

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Solution

The third proportional to 192.38 and 287.30 is: 429.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.38 : 287.30 = 287.30 : x
  2. Step 2: Convert to fraction form
    192.38/287.30 = 287.30/x
  3. Step 3: Cross multiply
    192.38x = 287.30 × 287.30
  4. Step 4: Simplify right side
    192.38x = 82,539.49
  5. Step 5: Solve for x
    x = 82,539.49/192.38
  6. Step 6: Final answer
    x = 429.06

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.