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Finding the Third Proportional to 161,118 and 345,564

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Solution

The third proportional to 161,118 and 345,564 is: 741,161.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,118 : 345,564 = 345,564 : x
  2. Step 2: Convert to fraction form
    161,118/345,564 = 345,564/x
  3. Step 3: Cross multiply
    161,118x = 345,564 × 345,564
  4. Step 4: Simplify right side
    161,118x = 119,414,478,096
  5. Step 5: Solve for x
    x = 119,414,478,096/161,118
  6. Step 6: Final answer
    x = 741,161.62

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.