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Finding the Third Proportional to 111,288 and 240,394

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Solution

The third proportional to 111,288 and 240,394 is: 519,276.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,288 : 240,394 = 240,394 : x
  2. Step 2: Convert to fraction form
    111,288/240,394 = 240,394/x
  3. Step 3: Cross multiply
    111,288x = 240,394 × 240,394
  4. Step 4: Simplify right side
    111,288x = 57,789,275,236
  5. Step 5: Solve for x
    x = 57,789,275,236/111,288
  6. Step 6: Final answer
    x = 519,276.79

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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.