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Finding the Third Proportional to 76,904 and 170,508

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Solution

The third proportional to 76,904 and 170,508 is: 378,042.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,904 : 170,508 = 170,508 : x
  2. Step 2: Convert to fraction form
    76,904/170,508 = 170,508/x
  3. Step 3: Cross multiply
    76,904x = 170,508 × 170,508
  4. Step 4: Simplify right side
    76,904x = 29,072,978,064
  5. Step 5: Solve for x
    x = 29,072,978,064/76,904
  6. Step 6: Final answer
    x = 378,042.47

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.