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Finding the Third Proportional to 109,219.50 and 154,716.75

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Solution

The third proportional to 109,219.50 and 154,716.75 is: 219,166.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,219.50 : 154,716.75 = 154,716.75 : x
  2. Step 2: Convert to fraction form
    109,219.50/154,716.75 = 154,716.75/x
  3. Step 3: Cross multiply
    109,219.50x = 154,716.75 × 154,716.75
  4. Step 4: Simplify right side
    109,219.50x = 23,937,272,730.56
  5. Step 5: Solve for x
    x = 23,937,272,730.56/109,219.50
  6. Step 6: Final answer
    x = 219,166.66

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.