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Finding the Third Proportional to 78,147 and 168,156

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Solution

The third proportional to 78,147 and 168,156 is: 361,836.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,147 : 168,156 = 168,156 : x
  2. Step 2: Convert to fraction form
    78,147/168,156 = 168,156/x
  3. Step 3: Cross multiply
    78,147x = 168,156 × 168,156
  4. Step 4: Simplify right side
    78,147x = 28,276,440,336
  5. Step 5: Solve for x
    x = 28,276,440,336/78,147
  6. Step 6: Final answer
    x = 361,836.54

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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.