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Finding the Third Proportional to 3,770,229 and 8,138,157

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Solution

The third proportional to 3,770,229 and 8,138,157 is: 17,566,465.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,770,229 : 8,138,157 = 8,138,157 : x
  2. Step 2: Convert to fraction form
    3,770,229/8,138,157 = 8,138,157/x
  3. Step 3: Cross multiply
    3,770,229x = 8,138,157 × 8,138,157
  4. Step 4: Simplify right side
    3,770,229x = 66,229,599,356,649
  5. Step 5: Solve for x
    x = 66,229,599,356,649/3,770,229
  6. Step 6: Final answer
    x = 17,566,465.95

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.