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Finding the Third Proportional to 100,511 and 136,503

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Solution

The third proportional to 100,511 and 136,503 is: 185,383.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,511 : 136,503 = 136,503 : x
  2. Step 2: Convert to fraction form
    100,511/136,503 = 136,503/x
  3. Step 3: Cross multiply
    100,511x = 136,503 × 136,503
  4. Step 4: Simplify right side
    100,511x = 18,633,069,009
  5. Step 5: Solve for x
    x = 18,633,069,009/100,511
  6. Step 6: Final answer
    x = 185,383.38

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.