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Finding the Third Proportional to 8,205,382 and 17,855,642

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Solution

The third proportional to 8,205,382 and 17,855,642 is: 38,855,467.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,205,382 : 17,855,642 = 17,855,642 : x
  2. Step 2: Convert to fraction form
    8,205,382/17,855,642 = 17,855,642/x
  3. Step 3: Cross multiply
    8,205,382x = 17,855,642 × 17,855,642
  4. Step 4: Simplify right side
    8,205,382x = 318,823,951,232,164
  5. Step 5: Solve for x
    x = 318,823,951,232,164/8,205,382
  6. Step 6: Final answer
    x = 38,855,467.21

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.