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Finding the Third Proportional to 120,648 and 158,652

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Solution

The third proportional to 120,648 and 158,652 is: 208,627.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,648 : 158,652 = 158,652 : x
  2. Step 2: Convert to fraction form
    120,648/158,652 = 158,652/x
  3. Step 3: Cross multiply
    120,648x = 158,652 × 158,652
  4. Step 4: Simplify right side
    120,648x = 25,170,457,104
  5. Step 5: Solve for x
    x = 25,170,457,104/120,648
  6. Step 6: Final answer
    x = 208,627.22

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.