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Finding the Third Proportional to 76,851 and 157,529

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Solution

The third proportional to 76,851 and 157,529 is: 322,902.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,851 : 157,529 = 157,529 : x
  2. Step 2: Convert to fraction form
    76,851/157,529 = 157,529/x
  3. Step 3: Cross multiply
    76,851x = 157,529 × 157,529
  4. Step 4: Simplify right side
    76,851x = 24,815,385,841
  5. Step 5: Solve for x
    x = 24,815,385,841/76,851
  6. Step 6: Final answer
    x = 322,902.58

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.