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Finding the Third Proportional to 50.78 and 130.04

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Solution

The third proportional to 50.78 and 130.04 is: 333.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.78 : 130.04 = 130.04 : x
  2. Step 2: Convert to fraction form
    50.78/130.04 = 130.04/x
  3. Step 3: Cross multiply
    50.78x = 130.04 × 130.04
  4. Step 4: Simplify right side
    50.78x = 16,911.17
  5. Step 5: Solve for x
    x = 16,911.17/50.78
  6. Step 6: Final answer
    x = 333.01

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These problems maintain the same ratio (2.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.