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Finding the Third Proportional to 8,123,902 and 17,517,357

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Solution

The third proportional to 8,123,902 and 17,517,357 is: 37,772,217.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,123,902 : 17,517,357 = 17,517,357 : x
  2. Step 2: Convert to fraction form
    8,123,902/17,517,357 = 17,517,357/x
  3. Step 3: Cross multiply
    8,123,902x = 17,517,357 × 17,517,357
  4. Step 4: Simplify right side
    8,123,902x = 306,857,796,265,449
  5. Step 5: Solve for x
    x = 306,857,796,265,449/8,123,902
  6. Step 6: Final answer
    x = 37,772,217.87

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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.