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Finding the Third Proportional to 109,782 and 239,706

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Solution

The third proportional to 109,782 and 239,706 is: 523,391.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,782 : 239,706 = 239,706 : x
  2. Step 2: Convert to fraction form
    109,782/239,706 = 239,706/x
  3. Step 3: Cross multiply
    109,782x = 239,706 × 239,706
  4. Step 4: Simplify right side
    109,782x = 57,458,966,436
  5. Step 5: Solve for x
    x = 57,458,966,436/109,782
  6. Step 6: Final answer
    x = 523,391.51

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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.