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Finding the Third Proportional to 109,985 and 239,716

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Solution

The third proportional to 109,985 and 239,716 is: 522,469.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,985 : 239,716 = 239,716 : x
  2. Step 2: Convert to fraction form
    109,985/239,716 = 239,716/x
  3. Step 3: Cross multiply
    109,985x = 239,716 × 239,716
  4. Step 4: Simplify right side
    109,985x = 57,463,760,656
  5. Step 5: Solve for x
    x = 57,463,760,656/109,985
  6. Step 6: Final answer
    x = 522,469.07

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.