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Finding the Third Proportional to 4,308.86 and 9,008.56

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Solution

The third proportional to 4,308.86 and 9,008.56 is: 18,834.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,308.86 : 9,008.56 = 9,008.56 : x
  2. Step 2: Convert to fraction form
    4,308.86/9,008.56 = 9,008.56/x
  3. Step 3: Cross multiply
    4,308.86x = 9,008.56 × 9,008.56
  4. Step 4: Simplify right side
    4,308.86x = 81,154,163.13
  5. Step 5: Solve for x
    x = 81,154,163.13/4,308.86
  6. Step 6: Final answer
    x = 18,834.25

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.