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Finding the Third Proportional to 146,809 and 312,847

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Solution

The third proportional to 146,809 and 312,847 is: 666,670.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,809 : 312,847 = 312,847 : x
  2. Step 2: Convert to fraction form
    146,809/312,847 = 312,847/x
  3. Step 3: Cross multiply
    146,809x = 312,847 × 312,847
  4. Step 4: Simplify right side
    146,809x = 97,873,245,409
  5. Step 5: Solve for x
    x = 97,873,245,409/146,809
  6. Step 6: Final answer
    x = 666,670.61

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.