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Finding the Third Proportional to 7,831.69 and 15,979.78

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Solution

The third proportional to 7,831.69 and 15,979.78 is: 32,605.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,831.69 : 15,979.78 = 15,979.78 : x
  2. Step 2: Convert to fraction form
    7,831.69/15,979.78 = 15,979.78/x
  3. Step 3: Cross multiply
    7,831.69x = 15,979.78 × 15,979.78
  4. Step 4: Simplify right side
    7,831.69x = 255,353,408.80
  5. Step 5: Solve for x
    x = 255,353,408.80/7,831.69
  6. Step 6: Final answer
    x = 32,605.16

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.