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Finding the Third Proportional to 51.19 and 138.80

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Solution

The third proportional to 51.19 and 138.80 is: 376.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.19 : 138.80 = 138.80 : x
  2. Step 2: Convert to fraction form
    51.19/138.80 = 138.80/x
  3. Step 3: Cross multiply
    51.19x = 138.80 × 138.80
  4. Step 4: Simplify right side
    51.19x = 19,264.57
  5. Step 5: Solve for x
    x = 19,264.57/51.19
  6. Step 6: Final answer
    x = 376.35

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Why These Related Problems?

These problems maintain the same ratio (2.71) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.