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Finding the Third Proportional to 198.98 and 292.77

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Solution

The third proportional to 198.98 and 292.77 is: 430.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.98 : 292.77 = 292.77 : x
  2. Step 2: Convert to fraction form
    198.98/292.77 = 292.77/x
  3. Step 3: Cross multiply
    198.98x = 292.77 × 292.77
  4. Step 4: Simplify right side
    198.98x = 85,717.00
  5. Step 5: Solve for x
    x = 85,717.00/198.98
  6. Step 6: Final answer
    x = 430.78

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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.