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Finding the Third Proportional to 198,640.69 and 303,929.72

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Solution

The third proportional to 198,640.69 and 303,929.72 is: 465,026.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,640.69 : 303,929.72 = 303,929.72 : x
  2. Step 2: Convert to fraction form
    198,640.69/303,929.72 = 303,929.72/x
  3. Step 3: Cross multiply
    198,640.69x = 303,929.72 × 303,929.72
  4. Step 4: Simplify right side
    198,640.69x = 92,373,273,939.45
  5. Step 5: Solve for x
    x = 92,373,273,939.45/198,640.69
  6. Step 6: Final answer
    x = 465,026.95

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.