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Finding the Third Proportional to 77,385 and 167,775

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Solution

The third proportional to 77,385 and 167,775 is: 363,745.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,385 : 167,775 = 167,775 : x
  2. Step 2: Convert to fraction form
    77,385/167,775 = 167,775/x
  3. Step 3: Cross multiply
    77,385x = 167,775 × 167,775
  4. Step 4: Simplify right side
    77,385x = 28,148,450,625
  5. Step 5: Solve for x
    x = 28,148,450,625/77,385
  6. Step 6: Final answer
    x = 363,745.57

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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.