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Finding the Third Proportional to 10,177,785 and 21,949,902

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Solution

The third proportional to 10,177,785 and 21,949,902 is: 47,338,217.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,177,785 : 21,949,902 = 21,949,902 : x
  2. Step 2: Convert to fraction form
    10,177,785/21,949,902 = 21,949,902/x
  3. Step 3: Cross multiply
    10,177,785x = 21,949,902 × 21,949,902
  4. Step 4: Simplify right side
    10,177,785x = 481,798,197,809,604
  5. Step 5: Solve for x
    x = 481,798,197,809,604/10,177,785
  6. Step 6: Final answer
    x = 47,338,217.28

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.