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Finding the Third Proportional to 138,696 and 283,964

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Solution

The third proportional to 138,696 and 283,964 is: 581,383.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,696 : 283,964 = 283,964 : x
  2. Step 2: Convert to fraction form
    138,696/283,964 = 283,964/x
  3. Step 3: Cross multiply
    138,696x = 283,964 × 283,964
  4. Step 4: Simplify right side
    138,696x = 80,635,553,296
  5. Step 5: Solve for x
    x = 80,635,553,296/138,696
  6. Step 6: Final answer
    x = 581,383.41

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.