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Finding the Third Proportional to 111,915 and 228,999

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Solution

The third proportional to 111,915 and 228,999 is: 468,574.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,915 : 228,999 = 228,999 : x
  2. Step 2: Convert to fraction form
    111,915/228,999 = 228,999/x
  3. Step 3: Cross multiply
    111,915x = 228,999 × 228,999
  4. Step 4: Simplify right side
    111,915x = 52,440,542,001
  5. Step 5: Solve for x
    x = 52,440,542,001/111,915
  6. Step 6: Final answer
    x = 468,574.74

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.