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Finding the Third Proportional to 4,489,474 and 9,818,756

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Solution

The third proportional to 4,489,474 and 9,818,756 is: 21,474,223.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,489,474 : 9,818,756 = 9,818,756 : x
  2. Step 2: Convert to fraction form
    4,489,474/9,818,756 = 9,818,756/x
  3. Step 3: Cross multiply
    4,489,474x = 9,818,756 × 9,818,756
  4. Step 4: Simplify right side
    4,489,474x = 96,407,969,387,536
  5. Step 5: Solve for x
    x = 96,407,969,387,536/4,489,474
  6. Step 6: Final answer
    x = 21,474,223.79

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.