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Finding the Third Proportional to 161,608 and 343,642

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Solution

The third proportional to 161,608 and 343,642 is: 730,717.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,608 : 343,642 = 343,642 : x
  2. Step 2: Convert to fraction form
    161,608/343,642 = 343,642/x
  3. Step 3: Cross multiply
    161,608x = 343,642 × 343,642
  4. Step 4: Simplify right side
    161,608x = 118,089,824,164
  5. Step 5: Solve for x
    x = 118,089,824,164/161,608
  6. Step 6: Final answer
    x = 730,717.69

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.