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Finding the Third Proportional to 169,920 and 347,238

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Solution

The third proportional to 169,920 and 347,238 is: 709,594.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,920 : 347,238 = 347,238 : x
  2. Step 2: Convert to fraction form
    169,920/347,238 = 347,238/x
  3. Step 3: Cross multiply
    169,920x = 347,238 × 347,238
  4. Step 4: Simplify right side
    169,920x = 120,574,228,644
  5. Step 5: Solve for x
    x = 120,574,228,644/169,920
  6. Step 6: Final answer
    x = 709,594.10

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.