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Finding the Third Proportional to 78,832 and 169,328

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Solution

The third proportional to 78,832 and 169,328 is: 363,709.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,832 : 169,328 = 169,328 : x
  2. Step 2: Convert to fraction form
    78,832/169,328 = 169,328/x
  3. Step 3: Cross multiply
    78,832x = 169,328 × 169,328
  4. Step 4: Simplify right side
    78,832x = 28,671,971,584
  5. Step 5: Solve for x
    x = 28,671,971,584/78,832
  6. Step 6: Final answer
    x = 363,709.81

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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.