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Finding the Third Proportional to 192.68 and 287.88

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Solution

The third proportional to 192.68 and 287.88 is: 430.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.68 : 287.88 = 287.88 : x
  2. Step 2: Convert to fraction form
    192.68/287.88 = 287.88/x
  3. Step 3: Cross multiply
    192.68x = 287.88 × 287.88
  4. Step 4: Simplify right side
    192.68x = 82,876.51
  5. Step 5: Solve for x
    x = 82,876.51/192.68
  6. Step 6: Final answer
    x = 430.13

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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.