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Finding the Third Proportional to 140,957 and 211,503

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Solution

The third proportional to 140,957 and 211,503 is: 317,355.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,957 : 211,503 = 211,503 : x
  2. Step 2: Convert to fraction form
    140,957/211,503 = 211,503/x
  3. Step 3: Cross multiply
    140,957x = 211,503 × 211,503
  4. Step 4: Simplify right side
    140,957x = 44,733,519,009
  5. Step 5: Solve for x
    x = 44,733,519,009/140,957
  6. Step 6: Final answer
    x = 317,355.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.