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Finding the Third Proportional to 8,215,992 and 16,680,816

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Solution

The third proportional to 8,215,992 and 16,680,816 is: 33,866,832.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,215,992 : 16,680,816 = 16,680,816 : x
  2. Step 2: Convert to fraction form
    8,215,992/16,680,816 = 16,680,816/x
  3. Step 3: Cross multiply
    8,215,992x = 16,680,816 × 16,680,816
  4. Step 4: Simplify right side
    8,215,992x = 278,249,622,425,856
  5. Step 5: Solve for x
    x = 278,249,622,425,856/8,215,992
  6. Step 6: Final answer
    x = 33,866,832.20

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.