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Finding the Third Proportional to 268,274 and 580,288

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Solution

The third proportional to 268,274 and 580,288 is: 1,255,187.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,274 : 580,288 = 580,288 : x
  2. Step 2: Convert to fraction form
    268,274/580,288 = 580,288/x
  3. Step 3: Cross multiply
    268,274x = 580,288 × 580,288
  4. Step 4: Simplify right side
    268,274x = 336,734,162,944
  5. Step 5: Solve for x
    x = 336,734,162,944/268,274
  6. Step 6: Final answer
    x = 1,255,187.47

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.