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Finding the Third Proportional to 78,893 and 171,162

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Solution

The third proportional to 78,893 and 171,162 is: 371,343.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,893 : 171,162 = 171,162 : x
  2. Step 2: Convert to fraction form
    78,893/171,162 = 171,162/x
  3. Step 3: Cross multiply
    78,893x = 171,162 × 171,162
  4. Step 4: Simplify right side
    78,893x = 29,296,430,244
  5. Step 5: Solve for x
    x = 29,296,430,244/78,893
  6. Step 6: Final answer
    x = 371,343.85

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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.