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Finding the Third Proportional to 171,805 and 368,214

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Solution

The third proportional to 171,805 and 368,214 is: 789,159.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,805 : 368,214 = 368,214 : x
  2. Step 2: Convert to fraction form
    171,805/368,214 = 368,214/x
  3. Step 3: Cross multiply
    171,805x = 368,214 × 368,214
  4. Step 4: Simplify right side
    171,805x = 135,581,549,796
  5. Step 5: Solve for x
    x = 135,581,549,796/171,805
  6. Step 6: Final answer
    x = 789,159.51

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.