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Finding the Third Proportional to 112,869 and 240,345

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Solution

The third proportional to 112,869 and 240,345 is: 511,794.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,869 : 240,345 = 240,345 : x
  2. Step 2: Convert to fraction form
    112,869/240,345 = 240,345/x
  3. Step 3: Cross multiply
    112,869x = 240,345 × 240,345
  4. Step 4: Simplify right side
    112,869x = 57,765,719,025
  5. Step 5: Solve for x
    x = 57,765,719,025/112,869
  6. Step 6: Final answer
    x = 511,794.37

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.