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Finding the Third Proportional to 198,066 and 292,731

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Solution

The third proportional to 198,066 and 292,731 is: 432,640.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,066 : 292,731 = 292,731 : x
  2. Step 2: Convert to fraction form
    198,066/292,731 = 292,731/x
  3. Step 3: Cross multiply
    198,066x = 292,731 × 292,731
  4. Step 4: Simplify right side
    198,066x = 85,691,438,361
  5. Step 5: Solve for x
    x = 85,691,438,361/198,066
  6. Step 6: Final answer
    x = 432,640.83

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.