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Finding the Third Proportional to 103,836 and 231,036

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Solution

The third proportional to 103,836 and 231,036 is: 514,057.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,836 : 231,036 = 231,036 : x
  2. Step 2: Convert to fraction form
    103,836/231,036 = 231,036/x
  3. Step 3: Cross multiply
    103,836x = 231,036 × 231,036
  4. Step 4: Simplify right side
    103,836x = 53,377,633,296
  5. Step 5: Solve for x
    x = 53,377,633,296/103,836
  6. Step 6: Final answer
    x = 514,057.10

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.