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Finding the Third Proportional to 4,878,119 and 10,305,661

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Solution

The third proportional to 4,878,119 and 10,305,661 is: 21,772,049.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,878,119 : 10,305,661 = 10,305,661 : x
  2. Step 2: Convert to fraction form
    4,878,119/10,305,661 = 10,305,661/x
  3. Step 3: Cross multiply
    4,878,119x = 10,305,661 × 10,305,661
  4. Step 4: Simplify right side
    4,878,119x = 106,206,648,646,921
  5. Step 5: Solve for x
    x = 106,206,648,646,921/4,878,119
  6. Step 6: Final answer
    x = 21,772,049.56

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.