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Finding the Third Proportional to 80,920.69 and 121,382.44

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Solution

The third proportional to 80,920.69 and 121,382.44 is: 182,075.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,920.69 : 121,382.44 = 121,382.44 : x
  2. Step 2: Convert to fraction form
    80,920.69/121,382.44 = 121,382.44/x
  3. Step 3: Cross multiply
    80,920.69x = 121,382.44 × 121,382.44
  4. Step 4: Simplify right side
    80,920.69x = 14,733,696,133.44
  5. Step 5: Solve for x
    x = 14,733,696,133.44/80,920.69
  6. Step 6: Final answer
    x = 182,075.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.