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Finding the Third Proportional to 5,121.28 and 6,919.22

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Solution

The third proportional to 5,121.28 and 6,919.22 is: 9,348.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,121.28 : 6,919.22 = 6,919.22 : x
  2. Step 2: Convert to fraction form
    5,121.28/6,919.22 = 6,919.22/x
  3. Step 3: Cross multiply
    5,121.28x = 6,919.22 × 6,919.22
  4. Step 4: Simplify right side
    5,121.28x = 47,875,588.11
  5. Step 5: Solve for x
    x = 47,875,588.11/5,121.28
  6. Step 6: Final answer
    x = 9,348.36

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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.