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Finding the Third Proportional to 161,620 and 343,976

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Solution

The third proportional to 161,620 and 343,976 is: 732,084.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,620 : 343,976 = 343,976 : x
  2. Step 2: Convert to fraction form
    161,620/343,976 = 343,976/x
  3. Step 3: Cross multiply
    161,620x = 343,976 × 343,976
  4. Step 4: Simplify right side
    161,620x = 118,319,488,576
  5. Step 5: Solve for x
    x = 118,319,488,576/161,620
  6. Step 6: Final answer
    x = 732,084.45

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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.