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Finding the Third Proportional to 109,661 and 239,140

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Solution

The third proportional to 109,661 and 239,140 is: 521,497.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,661 : 239,140 = 239,140 : x
  2. Step 2: Convert to fraction form
    109,661/239,140 = 239,140/x
  3. Step 3: Cross multiply
    109,661x = 239,140 × 239,140
  4. Step 4: Simplify right side
    109,661x = 57,187,939,600
  5. Step 5: Solve for x
    x = 57,187,939,600/109,661
  6. Step 6: Final answer
    x = 521,497.52

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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.