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Finding the Third Proportional to 178,420 and 243,019

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Solution

The third proportional to 178,420 and 243,019 is: 331,006.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,420 : 243,019 = 243,019 : x
  2. Step 2: Convert to fraction form
    178,420/243,019 = 243,019/x
  3. Step 3: Cross multiply
    178,420x = 243,019 × 243,019
  4. Step 4: Simplify right side
    178,420x = 59,058,234,361
  5. Step 5: Solve for x
    x = 59,058,234,361/178,420
  6. Step 6: Final answer
    x = 331,006.81

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.