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Finding the Third Proportional to 198,329 and 302,142

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Solution

The third proportional to 198,329 and 302,142 is: 460,294.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,329 : 302,142 = 302,142 : x
  2. Step 2: Convert to fraction form
    198,329/302,142 = 302,142/x
  3. Step 3: Cross multiply
    198,329x = 302,142 × 302,142
  4. Step 4: Simplify right side
    198,329x = 91,289,788,164
  5. Step 5: Solve for x
    x = 91,289,788,164/198,329
  6. Step 6: Final answer
    x = 460,294.70

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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.