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Finding the Third Proportional to 161,145 and 345,605

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Solution

The third proportional to 161,145 and 345,605 is: 741,213.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,145 : 345,605 = 345,605 : x
  2. Step 2: Convert to fraction form
    161,145/345,605 = 345,605/x
  3. Step 3: Cross multiply
    161,145x = 345,605 × 345,605
  4. Step 4: Simplify right side
    161,145x = 119,442,816,025
  5. Step 5: Solve for x
    x = 119,442,816,025/161,145
  6. Step 6: Final answer
    x = 741,213.29

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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.