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Finding the Third Proportional to 1,831.75 and 4,174.38

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Solution

The third proportional to 1,831.75 and 4,174.38 is: 9,512.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,831.75 : 4,174.38 = 4,174.38 : x
  2. Step 2: Convert to fraction form
    1,831.75/4,174.38 = 4,174.38/x
  3. Step 3: Cross multiply
    1,831.75x = 4,174.38 × 4,174.38
  4. Step 4: Simplify right side
    1,831.75x = 17,425,406.64
  5. Step 5: Solve for x
    x = 17,425,406.64/1,831.75
  6. Step 6: Final answer
    x = 9,512.98

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Why These Related Problems?

These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.