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Finding the Third Proportional to 389,236 and 855,154

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Solution

The third proportional to 389,236 and 855,154 is: 1,878,778.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,236 : 855,154 = 855,154 : x
  2. Step 2: Convert to fraction form
    389,236/855,154 = 855,154/x
  3. Step 3: Cross multiply
    389,236x = 855,154 × 855,154
  4. Step 4: Simplify right side
    389,236x = 731,288,363,716
  5. Step 5: Solve for x
    x = 731,288,363,716/389,236
  6. Step 6: Final answer
    x = 1,878,778.85

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.