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Finding the Third Proportional to 5,538,910.50 and 8,128,647

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Solution

The third proportional to 5,538,910.50 and 8,128,647 is: 11,929,223.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,538,910.50 : 8,128,647 = 8,128,647 : x
  2. Step 2: Convert to fraction form
    5,538,910.50/8,128,647 = 8,128,647/x
  3. Step 3: Cross multiply
    5,538,910.50x = 8,128,647 × 8,128,647
  4. Step 4: Simplify right side
    5,538,910.50x = 66,074,902,050,609
  5. Step 5: Solve for x
    x = 66,074,902,050,609/5,538,910.50
  6. Step 6: Final answer
    x = 11,929,223.64

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.