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Finding the Third Proportional to 51,285 and 77,611

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Solution

The third proportional to 51,285 and 77,611 is: 117,450.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,285 : 77,611 = 77,611 : x
  2. Step 2: Convert to fraction form
    51,285/77,611 = 77,611/x
  3. Step 3: Cross multiply
    51,285x = 77,611 × 77,611
  4. Step 4: Simplify right side
    51,285x = 6,023,467,321
  5. Step 5: Solve for x
    x = 6,023,467,321/51,285
  6. Step 6: Final answer
    x = 117,450.86

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.