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Finding the Third Proportional to 6,921.52 and 10,380.14

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Solution

The third proportional to 6,921.52 and 10,380.14 is: 15,567.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,921.52 : 10,380.14 = 10,380.14 : x
  2. Step 2: Convert to fraction form
    6,921.52/10,380.14 = 10,380.14/x
  3. Step 3: Cross multiply
    6,921.52x = 10,380.14 × 10,380.14
  4. Step 4: Simplify right side
    6,921.52x = 107,747,319.39
  5. Step 5: Solve for x
    x = 107,747,319.39/6,921.52
  6. Step 6: Final answer
    x = 15,567.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.