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Finding the Third Proportional to 78,834 and 171,276

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Solution

The third proportional to 78,834 and 171,276 is: 372,116.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,834 : 171,276 = 171,276 : x
  2. Step 2: Convert to fraction form
    78,834/171,276 = 171,276/x
  3. Step 3: Cross multiply
    78,834x = 171,276 × 171,276
  4. Step 4: Simplify right side
    78,834x = 29,335,468,176
  5. Step 5: Solve for x
    x = 29,335,468,176/78,834
  6. Step 6: Final answer
    x = 372,116.96

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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.