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Finding the Third Proportional to 90,317 and 120,652

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Solution

The third proportional to 90,317 and 120,652 is: 161,175.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,317 : 120,652 = 120,652 : x
  2. Step 2: Convert to fraction form
    90,317/120,652 = 120,652/x
  3. Step 3: Cross multiply
    90,317x = 120,652 × 120,652
  4. Step 4: Simplify right side
    90,317x = 14,556,905,104
  5. Step 5: Solve for x
    x = 14,556,905,104/90,317
  6. Step 6: Final answer
    x = 161,175.69

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.