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Finding the Third Proportional to 5,855,945 and 12,689,357

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Solution

The third proportional to 5,855,945 and 12,689,357 is: 27,496,805.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,855,945 : 12,689,357 = 12,689,357 : x
  2. Step 2: Convert to fraction form
    5,855,945/12,689,357 = 12,689,357/x
  3. Step 3: Cross multiply
    5,855,945x = 12,689,357 × 12,689,357
  4. Step 4: Simplify right side
    5,855,945x = 161,019,781,073,449
  5. Step 5: Solve for x
    x = 161,019,781,073,449/5,855,945
  6. Step 6: Final answer
    x = 27,496,805.57

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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.