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Finding the Third Proportional to 8,190,331 and 17,821,167

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Solution

The third proportional to 8,190,331 and 17,821,167 is: 38,776,698.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,190,331 : 17,821,167 = 17,821,167 : x
  2. Step 2: Convert to fraction form
    8,190,331/17,821,167 = 17,821,167/x
  3. Step 3: Cross multiply
    8,190,331x = 17,821,167 × 17,821,167
  4. Step 4: Simplify right side
    8,190,331x = 317,593,993,241,889
  5. Step 5: Solve for x
    x = 317,593,993,241,889/8,190,331
  6. Step 6: Final answer
    x = 38,776,698.19

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.