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Finding the Third Proportional to 151,728 and 218,555

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Solution

The third proportional to 151,728 and 218,555 is: 314,815.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,728 : 218,555 = 218,555 : x
  2. Step 2: Convert to fraction form
    151,728/218,555 = 218,555/x
  3. Step 3: Cross multiply
    151,728x = 218,555 × 218,555
  4. Step 4: Simplify right side
    151,728x = 47,766,288,025
  5. Step 5: Solve for x
    x = 47,766,288,025/151,728
  6. Step 6: Final answer
    x = 314,815.25

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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.