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Finding the Third Proportional to 78,678 and 172,908

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Solution

The third proportional to 78,678 and 172,908 is: 379,994.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,678 : 172,908 = 172,908 : x
  2. Step 2: Convert to fraction form
    78,678/172,908 = 172,908/x
  3. Step 3: Cross multiply
    78,678x = 172,908 × 172,908
  4. Step 4: Simplify right side
    78,678x = 29,897,176,464
  5. Step 5: Solve for x
    x = 29,897,176,464/78,678
  6. Step 6: Final answer
    x = 379,994.11

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.