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Finding the Third Proportional to 198,488.50 and 422,580

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Solution

The third proportional to 198,488.50 and 422,580 is: 899,668.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,488.50 : 422,580 = 422,580 : x
  2. Step 2: Convert to fraction form
    198,488.50/422,580 = 422,580/x
  3. Step 3: Cross multiply
    198,488.50x = 422,580 × 422,580
  4. Step 4: Simplify right side
    198,488.50x = 178,573,856,400
  5. Step 5: Solve for x
    x = 178,573,856,400/198,488.50
  6. Step 6: Final answer
    x = 899,668.53

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.