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Finding the Third Proportional to 3,770,217 and 8,138,133

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Solution

The third proportional to 3,770,217 and 8,138,133 is: 17,566,418.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,770,217 : 8,138,133 = 8,138,133 : x
  2. Step 2: Convert to fraction form
    3,770,217/8,138,133 = 8,138,133/x
  3. Step 3: Cross multiply
    3,770,217x = 8,138,133 × 8,138,133
  4. Step 4: Simplify right side
    3,770,217x = 66,229,208,725,689
  5. Step 5: Solve for x
    x = 66,229,208,725,689/3,770,217
  6. Step 6: Final answer
    x = 17,566,418.25

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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.