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Finding the Third Proportional to 351,264 and 520,800

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Solution

The third proportional to 351,264 and 520,800 is: 772,161.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,264 : 520,800 = 520,800 : x
  2. Step 2: Convert to fraction form
    351,264/520,800 = 520,800/x
  3. Step 3: Cross multiply
    351,264x = 520,800 × 520,800
  4. Step 4: Simplify right side
    351,264x = 271,232,640,000
  5. Step 5: Solve for x
    x = 271,232,640,000/351,264
  6. Step 6: Final answer
    x = 772,161.79

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.