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Finding the Third Proportional to 85,029.50 and 122,917

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Solution

The third proportional to 85,029.50 and 122,917 is: 177,686.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,029.50 : 122,917 = 122,917 : x
  2. Step 2: Convert to fraction form
    85,029.50/122,917 = 122,917/x
  3. Step 3: Cross multiply
    85,029.50x = 122,917 × 122,917
  4. Step 4: Simplify right side
    85,029.50x = 15,108,588,889
  5. Step 5: Solve for x
    x = 15,108,588,889/85,029.50
  6. Step 6: Final answer
    x = 177,686.44

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.