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Finding the Third Proportional to 109,806 and 239,692

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Solution

The third proportional to 109,806 and 239,692 is: 523,215.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,806 : 239,692 = 239,692 : x
  2. Step 2: Convert to fraction form
    109,806/239,692 = 239,692/x
  3. Step 3: Cross multiply
    109,806x = 239,692 × 239,692
  4. Step 4: Simplify right side
    109,806x = 57,452,254,864
  5. Step 5: Solve for x
    x = 57,452,254,864/109,806
  6. Step 6: Final answer
    x = 523,215.99

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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.