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Finding the Third Proportional to 18,769.97 and 30,187.65

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Solution

The third proportional to 18,769.97 and 30,187.65 is: 48,550.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,769.97 : 30,187.65 = 30,187.65 : x
  2. Step 2: Convert to fraction form
    18,769.97/30,187.65 = 30,187.65/x
  3. Step 3: Cross multiply
    18,769.97x = 30,187.65 × 30,187.65
  4. Step 4: Simplify right side
    18,769.97x = 911,294,088.71
  5. Step 5: Solve for x
    x = 911,294,088.71/18,769.97
  6. Step 6: Final answer
    x = 48,550.64

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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.