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Finding the Third Proportional to 351.94 and 469.78

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Solution

The third proportional to 351.94 and 469.78 is: 627.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    351.94 : 469.78 = 469.78 : x
  2. Step 2: Convert to fraction form
    351.94/469.78 = 469.78/x
  3. Step 3: Cross multiply
    351.94x = 469.78 × 469.78
  4. Step 4: Simplify right side
    351.94x = 220,694.42
  5. Step 5: Solve for x
    x = 220,694.42/351.94
  6. Step 6: Final answer
    x = 627.08

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.