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Finding the Third Proportional to 831.75 and 1,247.53

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Solution

The third proportional to 831.75 and 1,247.53 is: 1,871.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.75 : 1,247.53 = 1,247.53 : x
  2. Step 2: Convert to fraction form
    831.75/1,247.53 = 1,247.53/x
  3. Step 3: Cross multiply
    831.75x = 1,247.53 × 1,247.53
  4. Step 4: Simplify right side
    831.75x = 1,556,334.22
  5. Step 5: Solve for x
    x = 1,556,334.22/831.75
  6. Step 6: Final answer
    x = 1,871.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.