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Finding the Third Proportional to 178,920 and 274,113

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Solution

The third proportional to 178,920 and 274,113 is: 419,952.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,920 : 274,113 = 274,113 : x
  2. Step 2: Convert to fraction form
    178,920/274,113 = 274,113/x
  3. Step 3: Cross multiply
    178,920x = 274,113 × 274,113
  4. Step 4: Simplify right side
    178,920x = 75,137,936,769
  5. Step 5: Solve for x
    x = 75,137,936,769/178,920
  6. Step 6: Final answer
    x = 419,952.70

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.