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Finding the Third Proportional to 831.63 and 1,801.69

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Solution

The third proportional to 831.63 and 1,801.69 is: 3,903.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.63 : 1,801.69 = 1,801.69 : x
  2. Step 2: Convert to fraction form
    831.63/1,801.69 = 1,801.69/x
  3. Step 3: Cross multiply
    831.63x = 1,801.69 × 1,801.69
  4. Step 4: Simplify right side
    831.63x = 3,246,077.85
  5. Step 5: Solve for x
    x = 3,246,077.85/831.63
  6. Step 6: Final answer
    x = 3,903.30

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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.