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Finding the Third Proportional to 831.25 and 1,824.50

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Solution

The third proportional to 831.25 and 1,824.50 is: 4,004.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.25 : 1,824.50 = 1,824.50 : x
  2. Step 2: Convert to fraction form
    831.25/1,824.50 = 1,824.50/x
  3. Step 3: Cross multiply
    831.25x = 1,824.50 × 1,824.50
  4. Step 4: Simplify right side
    831.25x = 3,328,800.25
  5. Step 5: Solve for x
    x = 3,328,800.25/831.25
  6. Step 6: Final answer
    x = 4,004.57

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.