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Finding the Third Proportional to 157.78 and 378.84

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Solution

The third proportional to 157.78 and 378.84 is: 909.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.78 : 378.84 = 378.84 : x
  2. Step 2: Convert to fraction form
    157.78/378.84 = 378.84/x
  3. Step 3: Cross multiply
    157.78x = 378.84 × 378.84
  4. Step 4: Simplify right side
    157.78x = 143,522.59
  5. Step 5: Solve for x
    x = 143,522.59/157.78
  6. Step 6: Final answer
    x = 909.63

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Why These Related Problems?

These problems maintain the same ratio (2.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.