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Finding the Third Proportional to 198,330 and 302,144

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Solution

The third proportional to 198,330 and 302,144 is: 460,298.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,330 : 302,144 = 302,144 : x
  2. Step 2: Convert to fraction form
    198,330/302,144 = 302,144/x
  3. Step 3: Cross multiply
    198,330x = 302,144 × 302,144
  4. Step 4: Simplify right side
    198,330x = 91,290,996,736
  5. Step 5: Solve for x
    x = 91,290,996,736/198,330
  6. Step 6: Final answer
    x = 460,298.48

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.