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Finding the Third Proportional to 99,408 and 193,800

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Solution

The third proportional to 99,408 and 193,800 is: 377,821.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,408 : 193,800 = 193,800 : x
  2. Step 2: Convert to fraction form
    99,408/193,800 = 193,800/x
  3. Step 3: Cross multiply
    99,408x = 193,800 × 193,800
  4. Step 4: Simplify right side
    99,408x = 37,558,440,000
  5. Step 5: Solve for x
    x = 37,558,440,000/99,408
  6. Step 6: Final answer
    x = 377,821.10

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.