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Finding the Third Proportional to 140,156 and 220,278

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Solution

The third proportional to 140,156 and 220,278 is: 346,202.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,156 : 220,278 = 220,278 : x
  2. Step 2: Convert to fraction form
    140,156/220,278 = 220,278/x
  3. Step 3: Cross multiply
    140,156x = 220,278 × 220,278
  4. Step 4: Simplify right side
    140,156x = 48,522,397,284
  5. Step 5: Solve for x
    x = 48,522,397,284/140,156
  6. Step 6: Final answer
    x = 346,202.78

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.