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Finding the Third Proportional to 831.88 and 1,218.75

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Solution

The third proportional to 831.88 and 1,218.75 is: 1,785.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.88 : 1,218.75 = 1,218.75 : x
  2. Step 2: Convert to fraction form
    831.88/1,218.75 = 1,218.75/x
  3. Step 3: Cross multiply
    831.88x = 1,218.75 × 1,218.75
  4. Step 4: Simplify right side
    831.88x = 1,485,351.56
  5. Step 5: Solve for x
    x = 1,485,351.56/831.88
  6. Step 6: Final answer
    x = 1,785.55

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.