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Finding the Third Proportional to 7,912.69 and 12,894.19

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Solution

The third proportional to 7,912.69 and 12,894.19 is: 21,011.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,912.69 : 12,894.19 = 12,894.19 : x
  2. Step 2: Convert to fraction form
    7,912.69/12,894.19 = 12,894.19/x
  3. Step 3: Cross multiply
    7,912.69x = 12,894.19 × 12,894.19
  4. Step 4: Simplify right side
    7,912.69x = 166,260,071.29
  5. Step 5: Solve for x
    x = 166,260,071.29/7,912.69
  6. Step 6: Final answer
    x = 21,011.83

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.