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Finding the Third Proportional to 108,815 and 239,698

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Solution

The third proportional to 108,815 and 239,698 is: 528,007.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,815 : 239,698 = 239,698 : x
  2. Step 2: Convert to fraction form
    108,815/239,698 = 239,698/x
  3. Step 3: Cross multiply
    108,815x = 239,698 × 239,698
  4. Step 4: Simplify right side
    108,815x = 57,455,131,204
  5. Step 5: Solve for x
    x = 57,455,131,204/108,815
  6. Step 6: Final answer
    x = 528,007.45

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.