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Finding the Third Proportional to 91,890 and 198,452

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Solution

The third proportional to 91,890 and 198,452 is: 428,590.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,890 : 198,452 = 198,452 : x
  2. Step 2: Convert to fraction form
    91,890/198,452 = 198,452/x
  3. Step 3: Cross multiply
    91,890x = 198,452 × 198,452
  4. Step 4: Simplify right side
    91,890x = 39,383,196,304
  5. Step 5: Solve for x
    x = 39,383,196,304/91,890
  6. Step 6: Final answer
    x = 428,590.67

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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.