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Finding the Third Proportional to 3,831.75 and 9,921.38

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Solution

The third proportional to 3,831.75 and 9,921.38 is: 25,688.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,831.75 : 9,921.38 = 9,921.38 : x
  2. Step 2: Convert to fraction form
    3,831.75/9,921.38 = 9,921.38/x
  3. Step 3: Cross multiply
    3,831.75x = 9,921.38 × 9,921.38
  4. Step 4: Simplify right side
    3,831.75x = 98,433,681.89
  5. Step 5: Solve for x
    x = 98,433,681.89/3,831.75
  6. Step 6: Final answer
    x = 25,688.96

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Why These Related Problems?

These problems maintain the same ratio (2.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.