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Finding the Third Proportional to 140,264 and 211,856

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Solution

The third proportional to 140,264 and 211,856 is: 319,989.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,264 : 211,856 = 211,856 : x
  2. Step 2: Convert to fraction form
    140,264/211,856 = 211,856/x
  3. Step 3: Cross multiply
    140,264x = 211,856 × 211,856
  4. Step 4: Simplify right side
    140,264x = 44,882,964,736
  5. Step 5: Solve for x
    x = 44,882,964,736/140,264
  6. Step 6: Final answer
    x = 319,989.20

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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.