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Finding the Third Proportional to 106,600 and 216,872

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Solution

The third proportional to 106,600 and 216,872 is: 441,214.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,600 : 216,872 = 216,872 : x
  2. Step 2: Convert to fraction form
    106,600/216,872 = 216,872/x
  3. Step 3: Cross multiply
    106,600x = 216,872 × 216,872
  4. Step 4: Simplify right side
    106,600x = 47,033,464,384
  5. Step 5: Solve for x
    x = 47,033,464,384/106,600
  6. Step 6: Final answer
    x = 441,214.49

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.