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Finding the Third Proportional to 7,883,400 and 16,981,288

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Solution

The third proportional to 7,883,400 and 16,981,288 is: 36,578,651.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,883,400 : 16,981,288 = 16,981,288 : x
  2. Step 2: Convert to fraction form
    7,883,400/16,981,288 = 16,981,288/x
  3. Step 3: Cross multiply
    7,883,400x = 16,981,288 × 16,981,288
  4. Step 4: Simplify right side
    7,883,400x = 288,364,142,138,944
  5. Step 5: Solve for x
    x = 288,364,142,138,944/7,883,400
  6. Step 6: Final answer
    x = 36,578,651.61

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.