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Finding the Third Proportional to 161,907 and 343,545

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Solution

The third proportional to 161,907 and 343,545 is: 728,956.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,907 : 343,545 = 343,545 : x
  2. Step 2: Convert to fraction form
    161,907/343,545 = 343,545/x
  3. Step 3: Cross multiply
    161,907x = 343,545 × 343,545
  4. Step 4: Simplify right side
    161,907x = 118,023,167,025
  5. Step 5: Solve for x
    x = 118,023,167,025/161,907
  6. Step 6: Final answer
    x = 728,956.54

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.