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Finding the Third Proportional to 198,675 and 430,990

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Solution

The third proportional to 198,675 and 430,990 is: 934,955.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,675 : 430,990 = 430,990 : x
  2. Step 2: Convert to fraction form
    198,675/430,990 = 430,990/x
  3. Step 3: Cross multiply
    198,675x = 430,990 × 430,990
  4. Step 4: Simplify right side
    198,675x = 185,752,380,100
  5. Step 5: Solve for x
    x = 185,752,380,100/198,675
  6. Step 6: Final answer
    x = 934,955.98

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.