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Finding the Third Proportional to 103,682 and 153,336

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Solution

The third proportional to 103,682 and 153,336 is: 226,769.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,682 : 153,336 = 153,336 : x
  2. Step 2: Convert to fraction form
    103,682/153,336 = 153,336/x
  3. Step 3: Cross multiply
    103,682x = 153,336 × 153,336
  4. Step 4: Simplify right side
    103,682x = 23,511,928,896
  5. Step 5: Solve for x
    x = 23,511,928,896/103,682
  6. Step 6: Final answer
    x = 226,769.63

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.