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Finding the Third Proportional to 198,288 and 284,166

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Solution

The third proportional to 198,288 and 284,166 is: 407,237.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,288 : 284,166 = 284,166 : x
  2. Step 2: Convert to fraction form
    198,288/284,166 = 284,166/x
  3. Step 3: Cross multiply
    198,288x = 284,166 × 284,166
  4. Step 4: Simplify right side
    198,288x = 80,750,315,556
  5. Step 5: Solve for x
    x = 80,750,315,556/198,288
  6. Step 6: Final answer
    x = 407,237.53

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.