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Finding the Third Proportional to 8,078,854 and 17,677,917

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Solution

The third proportional to 8,078,854 and 17,677,917 is: 38,682,311.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,078,854 : 17,677,917 = 17,677,917 : x
  2. Step 2: Convert to fraction form
    8,078,854/17,677,917 = 17,677,917/x
  3. Step 3: Cross multiply
    8,078,854x = 17,677,917 × 17,677,917
  4. Step 4: Simplify right side
    8,078,854x = 312,508,749,458,889
  5. Step 5: Solve for x
    x = 312,508,749,458,889/8,078,854
  6. Step 6: Final answer
    x = 38,682,311.81

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.