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Finding the Third Proportional to 109,802 and 239,682

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Solution

The third proportional to 109,802 and 239,682 is: 523,191.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,802 : 239,682 = 239,682 : x
  2. Step 2: Convert to fraction form
    109,802/239,682 = 239,682/x
  3. Step 3: Cross multiply
    109,802x = 239,682 × 239,682
  4. Step 4: Simplify right side
    109,802x = 57,447,461,124
  5. Step 5: Solve for x
    x = 57,447,461,124/109,802
  6. Step 6: Final answer
    x = 523,191.39

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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.