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Finding the Third Proportional to 78,339 and 167,745

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Solution

The third proportional to 78,339 and 167,745 is: 359,187.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,339 : 167,745 = 167,745 : x
  2. Step 2: Convert to fraction form
    78,339/167,745 = 167,745/x
  3. Step 3: Cross multiply
    78,339x = 167,745 × 167,745
  4. Step 4: Simplify right side
    78,339x = 28,138,385,025
  5. Step 5: Solve for x
    x = 28,138,385,025/78,339
  6. Step 6: Final answer
    x = 359,187.44

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.