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Finding the Third Proportional to 90,925 and 198,373

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Solution

The third proportional to 90,925 and 198,373 is: 432,794.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,925 : 198,373 = 198,373 : x
  2. Step 2: Convert to fraction form
    90,925/198,373 = 198,373/x
  3. Step 3: Cross multiply
    90,925x = 198,373 × 198,373
  4. Step 4: Simplify right side
    90,925x = 39,351,847,129
  5. Step 5: Solve for x
    x = 39,351,847,129/90,925
  6. Step 6: Final answer
    x = 432,794.58

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.