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Finding the Third Proportional to 146,847 and 320,657

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Solution

The third proportional to 146,847 and 320,657 is: 700,190.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,847 : 320,657 = 320,657 : x
  2. Step 2: Convert to fraction form
    146,847/320,657 = 320,657/x
  3. Step 3: Cross multiply
    146,847x = 320,657 × 320,657
  4. Step 4: Simplify right side
    146,847x = 102,820,911,649
  5. Step 5: Solve for x
    x = 102,820,911,649/146,847
  6. Step 6: Final answer
    x = 700,190.75

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.