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Finding the Third Proportional to 109,768.50 and 169,458.75

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Solution

The third proportional to 109,768.50 and 169,458.75 is: 261,607.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,768.50 : 169,458.75 = 169,458.75 : x
  2. Step 2: Convert to fraction form
    109,768.50/169,458.75 = 169,458.75/x
  3. Step 3: Cross multiply
    109,768.50x = 169,458.75 × 169,458.75
  4. Step 4: Simplify right side
    109,768.50x = 28,716,267,951.56
  5. Step 5: Solve for x
    x = 28,716,267,951.56/109,768.50
  6. Step 6: Final answer
    x = 261,607.55

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.