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Finding the Third Proportional to 171,984 and 356,120

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Solution

The third proportional to 171,984 and 356,120 is: 737,402.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,984 : 356,120 = 356,120 : x
  2. Step 2: Convert to fraction form
    171,984/356,120 = 356,120/x
  3. Step 3: Cross multiply
    171,984x = 356,120 × 356,120
  4. Step 4: Simplify right side
    171,984x = 126,821,454,400
  5. Step 5: Solve for x
    x = 126,821,454,400/171,984
  6. Step 6: Final answer
    x = 737,402.63

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.