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Finding the Third Proportional to 198,387 and 283,584

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Solution

The third proportional to 198,387 and 283,584 is: 405,368.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,387 : 283,584 = 283,584 : x
  2. Step 2: Convert to fraction form
    198,387/283,584 = 283,584/x
  3. Step 3: Cross multiply
    198,387x = 283,584 × 283,584
  4. Step 4: Simplify right side
    198,387x = 80,419,885,056
  5. Step 5: Solve for x
    x = 80,419,885,056/198,387
  6. Step 6: Final answer
    x = 405,368.72

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.