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Finding the Third Proportional to 120,976.50 and 169,213.50

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Solution

The third proportional to 120,976.50 and 169,213.50 is: 236,684.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,976.50 : 169,213.50 = 169,213.50 : x
  2. Step 2: Convert to fraction form
    120,976.50/169,213.50 = 169,213.50/x
  3. Step 3: Cross multiply
    120,976.50x = 169,213.50 × 169,213.50
  4. Step 4: Simplify right side
    120,976.50x = 28,633,208,582.25
  5. Step 5: Solve for x
    x = 28,633,208,582.25/120,976.50
  6. Step 6: Final answer
    x = 236,684.06

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.