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Finding the Third Proportional to 198,388 and 283,586

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Solution

The third proportional to 198,388 and 283,586 is: 405,372.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,388 : 283,586 = 283,586 : x
  2. Step 2: Convert to fraction form
    198,388/283,586 = 283,586/x
  3. Step 3: Cross multiply
    198,388x = 283,586 × 283,586
  4. Step 4: Simplify right side
    198,388x = 80,421,019,396
  5. Step 5: Solve for x
    x = 80,421,019,396/198,388
  6. Step 6: Final answer
    x = 405,372.40

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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.