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Finding the Third Proportional to 146,831 and 316,990

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Solution

The third proportional to 146,831 and 316,990 is: 684,342.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,831 : 316,990 = 316,990 : x
  2. Step 2: Convert to fraction form
    146,831/316,990 = 316,990/x
  3. Step 3: Cross multiply
    146,831x = 316,990 × 316,990
  4. Step 4: Simplify right side
    146,831x = 100,482,660,100
  5. Step 5: Solve for x
    x = 100,482,660,100/146,831
  6. Step 6: Final answer
    x = 684,342.27

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.