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Finding the Third Proportional to 76,357 and 164,420

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Solution

The third proportional to 76,357 and 164,420 is: 354,046.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,357 : 164,420 = 164,420 : x
  2. Step 2: Convert to fraction form
    76,357/164,420 = 164,420/x
  3. Step 3: Cross multiply
    76,357x = 164,420 × 164,420
  4. Step 4: Simplify right side
    76,357x = 27,033,936,400
  5. Step 5: Solve for x
    x = 27,033,936,400/76,357
  6. Step 6: Final answer
    x = 354,046.60

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.