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Finding the Third Proportional to 199.69 and 292.88

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Solution

The third proportional to 199.69 and 292.88 is: 429.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.69 : 292.88 = 292.88 : x
  2. Step 2: Convert to fraction form
    199.69/292.88 = 292.88/x
  3. Step 3: Cross multiply
    199.69x = 292.88 × 292.88
  4. Step 4: Simplify right side
    199.69x = 85,775.77
  5. Step 5: Solve for x
    x = 85,775.77/199.69
  6. Step 6: Final answer
    x = 429.55

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.