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Finding the Third Proportional to 198,329 and 302,138

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Solution

The third proportional to 198,329 and 302,138 is: 460,282.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,329 : 302,138 = 302,138 : x
  2. Step 2: Convert to fraction form
    198,329/302,138 = 302,138/x
  3. Step 3: Cross multiply
    198,329x = 302,138 × 302,138
  4. Step 4: Simplify right side
    198,329x = 91,287,371,044
  5. Step 5: Solve for x
    x = 91,287,371,044/198,329
  6. Step 6: Final answer
    x = 460,282.52

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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.