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Finding the Third Proportional to 5,421,420 and 11,787,192

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Solution

The third proportional to 5,421,420 and 11,787,192 is: 25,627,583.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,421,420 : 11,787,192 = 11,787,192 : x
  2. Step 2: Convert to fraction form
    5,421,420/11,787,192 = 11,787,192/x
  3. Step 3: Cross multiply
    5,421,420x = 11,787,192 × 11,787,192
  4. Step 4: Simplify right side
    5,421,420x = 138,937,895,244,864
  5. Step 5: Solve for x
    x = 138,937,895,244,864/5,421,420
  6. Step 6: Final answer
    x = 25,627,583.78

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.