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Finding the Third Proportional to 109,943 and 239,636

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Solution

The third proportional to 109,943 and 239,636 is: 522,319.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,943 : 239,636 = 239,636 : x
  2. Step 2: Convert to fraction form
    109,943/239,636 = 239,636/x
  3. Step 3: Cross multiply
    109,943x = 239,636 × 239,636
  4. Step 4: Simplify right side
    109,943x = 57,425,412,496
  5. Step 5: Solve for x
    x = 57,425,412,496/109,943
  6. Step 6: Final answer
    x = 522,319.86

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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.