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Finding the Third Proportional to 512,418 and 770,274

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Solution

The third proportional to 512,418 and 770,274 is: 1,157,886.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,418 : 770,274 = 770,274 : x
  2. Step 2: Convert to fraction form
    512,418/770,274 = 770,274/x
  3. Step 3: Cross multiply
    512,418x = 770,274 × 770,274
  4. Step 4: Simplify right side
    512,418x = 593,322,035,076
  5. Step 5: Solve for x
    x = 593,322,035,076/512,418
  6. Step 6: Final answer
    x = 1,157,886.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.