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Finding the Third Proportional to 198,374 and 289,068

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Solution

The third proportional to 198,374 and 289,068 is: 421,226.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,374 : 289,068 = 289,068 : x
  2. Step 2: Convert to fraction form
    198,374/289,068 = 289,068/x
  3. Step 3: Cross multiply
    198,374x = 289,068 × 289,068
  4. Step 4: Simplify right side
    198,374x = 83,560,308,624
  5. Step 5: Solve for x
    x = 83,560,308,624/198,374
  6. Step 6: Final answer
    x = 421,226.11

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.