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Finding the Third Proportional to 81,674.58 and 131,578.80

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Solution

The third proportional to 81,674.58 and 131,578.80 is: 211,975.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,674.58 : 131,578.80 = 131,578.80 : x
  2. Step 2: Convert to fraction form
    81,674.58/131,578.80 = 131,578.80/x
  3. Step 3: Cross multiply
    81,674.58x = 131,578.80 × 131,578.80
  4. Step 4: Simplify right side
    81,674.58x = 17,312,981,842.99
  5. Step 5: Solve for x
    x = 17,312,981,842.99/81,674.58
  6. Step 6: Final answer
    x = 211,975.16

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.