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Finding the Third Proportional to 195,990 and 415,530

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Solution

The third proportional to 195,990 and 415,530 is: 880,989.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,990 : 415,530 = 415,530 : x
  2. Step 2: Convert to fraction form
    195,990/415,530 = 415,530/x
  3. Step 3: Cross multiply
    195,990x = 415,530 × 415,530
  4. Step 4: Simplify right side
    195,990x = 172,665,180,900
  5. Step 5: Solve for x
    x = 172,665,180,900/195,990
  6. Step 6: Final answer
    x = 880,989.75

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.