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Finding the Third Proportional to 198,176 and 435,718

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Solution

The third proportional to 198,176 and 435,718 is: 957,987.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,176 : 435,718 = 435,718 : x
  2. Step 2: Convert to fraction form
    198,176/435,718 = 435,718/x
  3. Step 3: Cross multiply
    198,176x = 435,718 × 435,718
  4. Step 4: Simplify right side
    198,176x = 189,850,175,524
  5. Step 5: Solve for x
    x = 189,850,175,524/198,176
  6. Step 6: Final answer
    x = 957,987.73

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.