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Finding the Third Proportional to 140,886 and 211,390

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Solution

The third proportional to 140,886 and 211,390 is: 317,176.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,886 : 211,390 = 211,390 : x
  2. Step 2: Convert to fraction form
    140,886/211,390 = 211,390/x
  3. Step 3: Cross multiply
    140,886x = 211,390 × 211,390
  4. Step 4: Simplify right side
    140,886x = 44,685,732,100
  5. Step 5: Solve for x
    x = 44,685,732,100/140,886
  6. Step 6: Final answer
    x = 317,176.53

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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.