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Finding the Third Proportional to 7,859.81 and 10,680.19

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Solution

The third proportional to 7,859.81 and 10,680.19 is: 14,512.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,859.81 : 10,680.19 = 10,680.19 : x
  2. Step 2: Convert to fraction form
    7,859.81/10,680.19 = 10,680.19/x
  3. Step 3: Cross multiply
    7,859.81x = 10,680.19 × 10,680.19
  4. Step 4: Simplify right side
    7,859.81x = 114,066,405.04
  5. Step 5: Solve for x
    x = 114,066,405.04/7,859.81
  6. Step 6: Final answer
    x = 14,512.61

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.