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Finding the Third Proportional to 198,572.77 and 303,753.80

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Solution

The third proportional to 198,572.77 and 303,753.80 is: 464,647.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,572.77 : 303,753.80 = 303,753.80 : x
  2. Step 2: Convert to fraction form
    198,572.77/303,753.80 = 303,753.80/x
  3. Step 3: Cross multiply
    198,572.77x = 303,753.80 × 303,753.80
  4. Step 4: Simplify right side
    198,572.77x = 92,266,369,115.98
  5. Step 5: Solve for x
    x = 92,266,369,115.98/198,572.77
  6. Step 6: Final answer
    x = 464,647.65

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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.