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Finding the Third Proportional to 198,328 and 302,140

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Solution

The third proportional to 198,328 and 302,140 is: 460,290.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,328 : 302,140 = 302,140 : x
  2. Step 2: Convert to fraction form
    198,328/302,140 = 302,140/x
  3. Step 3: Cross multiply
    198,328x = 302,140 × 302,140
  4. Step 4: Simplify right side
    198,328x = 91,288,579,600
  5. Step 5: Solve for x
    x = 91,288,579,600/198,328
  6. Step 6: Final answer
    x = 460,290.93

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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.