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Finding the Third Proportional to 3,138.75 and 5,342.63

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Solution

The third proportional to 3,138.75 and 5,342.63 is: 9,093.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,138.75 : 5,342.63 = 5,342.63 : x
  2. Step 2: Convert to fraction form
    3,138.75/5,342.63 = 5,342.63/x
  3. Step 3: Cross multiply
    3,138.75x = 5,342.63 × 5,342.63
  4. Step 4: Simplify right side
    3,138.75x = 28,543,641.89
  5. Step 5: Solve for x
    x = 28,543,641.89/3,138.75
  6. Step 6: Final answer
    x = 9,093.95

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Why These Related Problems?

These problems maintain the same ratio (1.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.