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Finding the Third Proportional to 218,728 and 454,915

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Solution

The third proportional to 218,728 and 454,915 is: 946,141.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,728 : 454,915 = 454,915 : x
  2. Step 2: Convert to fraction form
    218,728/454,915 = 454,915/x
  3. Step 3: Cross multiply
    218,728x = 454,915 × 454,915
  4. Step 4: Simplify right side
    218,728x = 206,947,657,225
  5. Step 5: Solve for x
    x = 206,947,657,225/218,728
  6. Step 6: Final answer
    x = 946,141.59

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.