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Finding the Third Proportional to 99,245 and 193,478

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Solution

The third proportional to 99,245 and 193,478 is: 377,185.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,245 : 193,478 = 193,478 : x
  2. Step 2: Convert to fraction form
    99,245/193,478 = 193,478/x
  3. Step 3: Cross multiply
    99,245x = 193,478 × 193,478
  4. Step 4: Simplify right side
    99,245x = 37,433,736,484
  5. Step 5: Solve for x
    x = 37,433,736,484/99,245
  6. Step 6: Final answer
    x = 377,185.11

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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.