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Finding the Third Proportional to 174,909 and 386,571

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Solution

The third proportional to 174,909 and 386,571 is: 854,370.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,909 : 386,571 = 386,571 : x
  2. Step 2: Convert to fraction form
    174,909/386,571 = 386,571/x
  3. Step 3: Cross multiply
    174,909x = 386,571 × 386,571
  4. Step 4: Simplify right side
    174,909x = 149,437,138,041
  5. Step 5: Solve for x
    x = 149,437,138,041/174,909
  6. Step 6: Final answer
    x = 854,370.78

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.