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Finding the Third Proportional to 169,878 and 356,277

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Solution

The third proportional to 169,878 and 356,277 is: 747,202.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,878 : 356,277 = 356,277 : x
  2. Step 2: Convert to fraction form
    169,878/356,277 = 356,277/x
  3. Step 3: Cross multiply
    169,878x = 356,277 × 356,277
  4. Step 4: Simplify right side
    169,878x = 126,933,300,729
  5. Step 5: Solve for x
    x = 126,933,300,729/169,878
  6. Step 6: Final answer
    x = 747,202.70

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.