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Finding the Third Proportional to 161,678 and 351,336

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Solution

The third proportional to 161,678 and 351,336 is: 763,474.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,678 : 351,336 = 351,336 : x
  2. Step 2: Convert to fraction form
    161,678/351,336 = 351,336/x
  3. Step 3: Cross multiply
    161,678x = 351,336 × 351,336
  4. Step 4: Simplify right side
    161,678x = 123,436,984,896
  5. Step 5: Solve for x
    x = 123,436,984,896/161,678
  6. Step 6: Final answer
    x = 763,474.22

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.