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Finding the Third Proportional to 5,121.75 and 6,920

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Solution

The third proportional to 5,121.75 and 6,920 is: 9,349.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,121.75 : 6,920 = 6,920 : x
  2. Step 2: Convert to fraction form
    5,121.75/6,920 = 6,920/x
  3. Step 3: Cross multiply
    5,121.75x = 6,920 × 6,920
  4. Step 4: Simplify right side
    5,121.75x = 47,886,400
  5. Step 5: Solve for x
    x = 47,886,400/5,121.75
  6. Step 6: Final answer
    x = 9,349.62

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.