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Finding the Third Proportional to 8,198,432 and 11,678,808

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Solution

The third proportional to 8,198,432 and 11,678,808 is: 16,636,663.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,198,432 : 11,678,808 = 11,678,808 : x
  2. Step 2: Convert to fraction form
    8,198,432/11,678,808 = 11,678,808/x
  3. Step 3: Cross multiply
    8,198,432x = 11,678,808 × 11,678,808
  4. Step 4: Simplify right side
    8,198,432x = 136,394,556,300,864
  5. Step 5: Solve for x
    x = 136,394,556,300,864/8,198,432
  6. Step 6: Final answer
    x = 16,636,663.73

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.