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Finding the Third Proportional to 831.56 and 1,810.88

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Solution

The third proportional to 831.56 and 1,810.88 is: 3,943.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.56 : 1,810.88 = 1,810.88 : x
  2. Step 2: Convert to fraction form
    831.56/1,810.88 = 1,810.88/x
  3. Step 3: Cross multiply
    831.56x = 1,810.88 × 1,810.88
  4. Step 4: Simplify right side
    831.56x = 3,279,268.27
  5. Step 5: Solve for x
    x = 3,279,268.27/831.56
  6. Step 6: Final answer
    x = 3,943.50

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.