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Finding the Third Proportional to 4,410.07 and 9,406.76

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Solution

The third proportional to 4,410.07 and 9,406.76 is: 20,064.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,410.07 : 9,406.76 = 9,406.76 : x
  2. Step 2: Convert to fraction form
    4,410.07/9,406.76 = 9,406.76/x
  3. Step 3: Cross multiply
    4,410.07x = 9,406.76 × 9,406.76
  4. Step 4: Simplify right side
    4,410.07x = 88,487,092.54
  5. Step 5: Solve for x
    x = 88,487,092.54/4,410.07
  6. Step 6: Final answer
    x = 20,064.78

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.