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Finding the Third Proportional to 109,696 and 239,216

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Solution

The third proportional to 109,696 and 239,216 is: 521,662.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,696 : 239,216 = 239,216 : x
  2. Step 2: Convert to fraction form
    109,696/239,216 = 239,216/x
  3. Step 3: Cross multiply
    109,696x = 239,216 × 239,216
  4. Step 4: Simplify right side
    109,696x = 57,224,294,656
  5. Step 5: Solve for x
    x = 57,224,294,656/109,696
  6. Step 6: Final answer
    x = 521,662.55

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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.