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Finding the Third Proportional to 108,908 and 239,888

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Solution

The third proportional to 108,908 and 239,888 is: 528,393.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,908 : 239,888 = 239,888 : x
  2. Step 2: Convert to fraction form
    108,908/239,888 = 239,888/x
  3. Step 3: Cross multiply
    108,908x = 239,888 × 239,888
  4. Step 4: Simplify right side
    108,908x = 57,546,252,544
  5. Step 5: Solve for x
    x = 57,546,252,544/108,908
  6. Step 6: Final answer
    x = 528,393.25

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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.