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Finding the Third Proportional to 110,288 and 233,576

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Solution

The third proportional to 110,288 and 233,576 is: 494,684.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,288 : 233,576 = 233,576 : x
  2. Step 2: Convert to fraction form
    110,288/233,576 = 233,576/x
  3. Step 3: Cross multiply
    110,288x = 233,576 × 233,576
  4. Step 4: Simplify right side
    110,288x = 54,557,747,776
  5. Step 5: Solve for x
    x = 54,557,747,776/110,288
  6. Step 6: Final answer
    x = 494,684.35

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.