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Finding the Third Proportional to 111,015 and 239,787

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Solution

The third proportional to 111,015 and 239,787 is: 517,928.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,015 : 239,787 = 239,787 : x
  2. Step 2: Convert to fraction form
    111,015/239,787 = 239,787/x
  3. Step 3: Cross multiply
    111,015x = 239,787 × 239,787
  4. Step 4: Simplify right side
    111,015x = 57,497,805,369
  5. Step 5: Solve for x
    x = 57,497,805,369/111,015
  6. Step 6: Final answer
    x = 517,928.26

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.