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Finding the Third Proportional to 5,308.03 and 11,200.78

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Solution

The third proportional to 5,308.03 and 11,200.78 is: 23,635.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,308.03 : 11,200.78 = 11,200.78 : x
  2. Step 2: Convert to fraction form
    5,308.03/11,200.78 = 11,200.78/x
  3. Step 3: Cross multiply
    5,308.03x = 11,200.78 × 11,200.78
  4. Step 4: Simplify right side
    5,308.03x = 125,457,500.61
  5. Step 5: Solve for x
    x = 125,457,500.61/5,308.03
  6. Step 6: Final answer
    x = 23,635.41

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.