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Finding the Third Proportional to 107,784 and 219,888

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Solution

The third proportional to 107,784 and 219,888 is: 448,589.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,784 : 219,888 = 219,888 : x
  2. Step 2: Convert to fraction form
    107,784/219,888 = 219,888/x
  3. Step 3: Cross multiply
    107,784x = 219,888 × 219,888
  4. Step 4: Simplify right side
    107,784x = 48,350,732,544
  5. Step 5: Solve for x
    x = 48,350,732,544/107,784
  6. Step 6: Final answer
    x = 448,589.15

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.