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Finding the Third Proportional to 161,906 and 343,543

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Solution

The third proportional to 161,906 and 343,543 is: 728,952.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,906 : 343,543 = 343,543 : x
  2. Step 2: Convert to fraction form
    161,906/343,543 = 343,543/x
  3. Step 3: Cross multiply
    161,906x = 343,543 × 343,543
  4. Step 4: Simplify right side
    161,906x = 118,021,792,849
  5. Step 5: Solve for x
    x = 118,021,792,849/161,906
  6. Step 6: Final answer
    x = 728,952.56

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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.