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Finding the Third Proportional to 198,899 and 429,571

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Solution

The third proportional to 198,899 and 429,571 is: 927,763.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,899 : 429,571 = 429,571 : x
  2. Step 2: Convert to fraction form
    198,899/429,571 = 429,571/x
  3. Step 3: Cross multiply
    198,899x = 429,571 × 429,571
  4. Step 4: Simplify right side
    198,899x = 184,531,244,041
  5. Step 5: Solve for x
    x = 184,531,244,041/198,899
  6. Step 6: Final answer
    x = 927,763.56

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.