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Finding the Third Proportional to 5,121.56 and 6,831.84

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Solution

The third proportional to 5,121.56 and 6,831.84 is: 9,113.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,121.56 : 6,831.84 = 6,831.84 : x
  2. Step 2: Convert to fraction form
    5,121.56/6,831.84 = 6,831.84/x
  3. Step 3: Cross multiply
    5,121.56x = 6,831.84 × 6,831.84
  4. Step 4: Simplify right side
    5,121.56x = 46,674,089.02
  5. Step 5: Solve for x
    x = 46,674,089.02/5,121.56
  6. Step 6: Final answer
    x = 9,113.25

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.