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Finding the Third Proportional to 6,921 and 7,530.75

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Solution

The third proportional to 6,921 and 7,530.75 is: 8,194.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,921 : 7,530.75 = 7,530.75 : x
  2. Step 2: Convert to fraction form
    6,921/7,530.75 = 7,530.75/x
  3. Step 3: Cross multiply
    6,921x = 7,530.75 × 7,530.75
  4. Step 4: Simplify right side
    6,921x = 56,712,195.56
  5. Step 5: Solve for x
    x = 56,712,195.56/6,921
  6. Step 6: Final answer
    x = 8,194.22

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.