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Finding the Third Proportional to 198,144 and 431,280

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Solution

The third proportional to 198,144 and 431,280 is: 938,723.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,144 : 431,280 = 431,280 : x
  2. Step 2: Convert to fraction form
    198,144/431,280 = 431,280/x
  3. Step 3: Cross multiply
    198,144x = 431,280 × 431,280
  4. Step 4: Simplify right side
    198,144x = 186,002,438,400
  5. Step 5: Solve for x
    x = 186,002,438,400/198,144
  6. Step 6: Final answer
    x = 938,723.55

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.