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Finding the Third Proportional to 140,282 and 211,881

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Solution

The third proportional to 140,282 and 211,881 is: 320,023.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,282 : 211,881 = 211,881 : x
  2. Step 2: Convert to fraction form
    140,282/211,881 = 211,881/x
  3. Step 3: Cross multiply
    140,282x = 211,881 × 211,881
  4. Step 4: Simplify right side
    140,282x = 44,893,558,161
  5. Step 5: Solve for x
    x = 44,893,558,161/140,282
  6. Step 6: Final answer
    x = 320,023.65

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.