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Finding the Third Proportional to 3,211,830 and 6,690,069

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Solution

The third proportional to 3,211,830 and 6,690,069 is: 13,935,053.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,211,830 : 6,690,069 = 6,690,069 : x
  2. Step 2: Convert to fraction form
    3,211,830/6,690,069 = 6,690,069/x
  3. Step 3: Cross multiply
    3,211,830x = 6,690,069 × 6,690,069
  4. Step 4: Simplify right side
    3,211,830x = 44,757,023,224,761
  5. Step 5: Solve for x
    x = 44,757,023,224,761/3,211,830
  6. Step 6: Final answer
    x = 13,935,053.61

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.