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Finding the Third Proportional to 383.34 and 831.66

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Solution

The third proportional to 383.34 and 831.66 is: 1,804.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.34 : 831.66 = 831.66 : x
  2. Step 2: Convert to fraction form
    383.34/831.66 = 831.66/x
  3. Step 3: Cross multiply
    383.34x = 831.66 × 831.66
  4. Step 4: Simplify right side
    383.34x = 691,652.12
  5. Step 5: Solve for x
    x = 691,652.12/383.34
  6. Step 6: Final answer
    x = 1,804.26

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.