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Finding the Third Proportional to 140,510 and 214,286

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Solution

The third proportional to 140,510 and 214,286 is: 326,798.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,510 : 214,286 = 214,286 : x
  2. Step 2: Convert to fraction form
    140,510/214,286 = 214,286/x
  3. Step 3: Cross multiply
    140,510x = 214,286 × 214,286
  4. Step 4: Simplify right side
    140,510x = 45,918,489,796
  5. Step 5: Solve for x
    x = 45,918,489,796/140,510
  6. Step 6: Final answer
    x = 326,798.73

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.