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Finding the Third Proportional to 76,872 and 168,324

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Solution

The third proportional to 76,872 and 168,324 is: 368,573.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,872 : 168,324 = 168,324 : x
  2. Step 2: Convert to fraction form
    76,872/168,324 = 168,324/x
  3. Step 3: Cross multiply
    76,872x = 168,324 × 168,324
  4. Step 4: Simplify right side
    76,872x = 28,332,968,976
  5. Step 5: Solve for x
    x = 28,332,968,976/76,872
  6. Step 6: Final answer
    x = 368,573.33

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.