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Finding the Third Proportional to 8,243,138 and 17,858,414

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Solution

The third proportional to 8,243,138 and 17,858,414 is: 38,689,507.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,243,138 : 17,858,414 = 17,858,414 : x
  2. Step 2: Convert to fraction form
    8,243,138/17,858,414 = 17,858,414/x
  3. Step 3: Cross multiply
    8,243,138x = 17,858,414 × 17,858,414
  4. Step 4: Simplify right side
    8,243,138x = 318,922,950,595,396
  5. Step 5: Solve for x
    x = 318,922,950,595,396/8,243,138
  6. Step 6: Final answer
    x = 38,689,507.64

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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.