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Finding the Third Proportional to 160,600 and 345,866

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Solution

The third proportional to 160,600 and 345,866 is: 744,852.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,600 : 345,866 = 345,866 : x
  2. Step 2: Convert to fraction form
    160,600/345,866 = 345,866/x
  3. Step 3: Cross multiply
    160,600x = 345,866 × 345,866
  4. Step 4: Simplify right side
    160,600x = 119,623,289,956
  5. Step 5: Solve for x
    x = 119,623,289,956/160,600
  6. Step 6: Final answer
    x = 744,852.37

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.