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Finding the Third Proportional to 151,756 and 218,595

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Solution

The third proportional to 151,756 and 218,595 is: 314,872.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,756 : 218,595 = 218,595 : x
  2. Step 2: Convert to fraction form
    151,756/218,595 = 218,595/x
  3. Step 3: Cross multiply
    151,756x = 218,595 × 218,595
  4. Step 4: Simplify right side
    151,756x = 47,783,774,025
  5. Step 5: Solve for x
    x = 47,783,774,025/151,756
  6. Step 6: Final answer
    x = 314,872.39

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.