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Finding the Third Proportional to 111,904.50 and 218,097.75

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Solution

The third proportional to 111,904.50 and 218,097.75 is: 425,064.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,904.50 : 218,097.75 = 218,097.75 : x
  2. Step 2: Convert to fraction form
    111,904.50/218,097.75 = 218,097.75/x
  3. Step 3: Cross multiply
    111,904.50x = 218,097.75 × 218,097.75
  4. Step 4: Simplify right side
    111,904.50x = 47,566,628,555.06
  5. Step 5: Solve for x
    x = 47,566,628,555.06/111,904.50
  6. Step 6: Final answer
    x = 425,064.48

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.