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Finding the Third Proportional to 109,216 and 239,846

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Solution

The third proportional to 109,216 and 239,846 is: 526,718.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,216 : 239,846 = 239,846 : x
  2. Step 2: Convert to fraction form
    109,216/239,846 = 239,846/x
  3. Step 3: Cross multiply
    109,216x = 239,846 × 239,846
  4. Step 4: Simplify right side
    109,216x = 57,526,103,716
  5. Step 5: Solve for x
    x = 57,526,103,716/109,216
  6. Step 6: Final answer
    x = 526,718.65

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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.