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Finding the Third Proportional to 199.65 and 304.07

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Solution

The third proportional to 199.65 and 304.07 is: 463.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.65 : 304.07 = 304.07 : x
  2. Step 2: Convert to fraction form
    199.65/304.07 = 304.07/x
  3. Step 3: Cross multiply
    199.65x = 304.07 × 304.07
  4. Step 4: Simplify right side
    199.65x = 92,456.38
  5. Step 5: Solve for x
    x = 92,456.38/199.65
  6. Step 6: Final answer
    x = 463.09

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.