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Finding the Third Proportional to 1,831.50 and 3,435.19

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Solution

The third proportional to 1,831.50 and 3,435.19 is: 6,443.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,831.50 : 3,435.19 = 3,435.19 : x
  2. Step 2: Convert to fraction form
    1,831.50/3,435.19 = 3,435.19/x
  3. Step 3: Cross multiply
    1,831.50x = 3,435.19 × 3,435.19
  4. Step 4: Simplify right side
    1,831.50x = 11,800,513.16
  5. Step 5: Solve for x
    x = 11,800,513.16/1,831.50
  6. Step 6: Final answer
    x = 6,443.09

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Why These Related Problems?

These problems maintain the same ratio (1.88) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.