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Finding the Third Proportional to 109,209 and 239,832

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Solution

The third proportional to 109,209 and 239,832 is: 526,690.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,209 : 239,832 = 239,832 : x
  2. Step 2: Convert to fraction form
    109,209/239,832 = 239,832/x
  3. Step 3: Cross multiply
    109,209x = 239,832 × 239,832
  4. Step 4: Simplify right side
    109,209x = 57,519,388,224
  5. Step 5: Solve for x
    x = 57,519,388,224/109,209
  6. Step 6: Final answer
    x = 526,690.92

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.