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Finding the Third Proportional to 8,215,101 and 18,319,122

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Solution

The third proportional to 8,215,101 and 18,319,122 is: 40,850,408.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,215,101 : 18,319,122 = 18,319,122 : x
  2. Step 2: Convert to fraction form
    8,215,101/18,319,122 = 18,319,122/x
  3. Step 3: Cross multiply
    8,215,101x = 18,319,122 × 18,319,122
  4. Step 4: Simplify right side
    8,215,101x = 335,590,230,850,884
  5. Step 5: Solve for x
    x = 335,590,230,850,884/8,215,101
  6. Step 6: Final answer
    x = 40,850,408.39

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.