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Finding the Third Proportional to 198,360 and 302,208

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Solution

The third proportional to 198,360 and 302,208 is: 460,423.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,360 : 302,208 = 302,208 : x
  2. Step 2: Convert to fraction form
    198,360/302,208 = 302,208/x
  3. Step 3: Cross multiply
    198,360x = 302,208 × 302,208
  4. Step 4: Simplify right side
    198,360x = 91,329,675,264
  5. Step 5: Solve for x
    x = 91,329,675,264/198,360
  6. Step 6: Final answer
    x = 460,423.85

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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.