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Finding the Third Proportional to 78,652 and 171,128

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Solution

The third proportional to 78,652 and 171,128 is: 372,333.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,652 : 171,128 = 171,128 : x
  2. Step 2: Convert to fraction form
    78,652/171,128 = 171,128/x
  3. Step 3: Cross multiply
    78,652x = 171,128 × 171,128
  4. Step 4: Simplify right side
    78,652x = 29,284,792,384
  5. Step 5: Solve for x
    x = 29,284,792,384/78,652
  6. Step 6: Final answer
    x = 372,333.73

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.