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Finding the Third Proportional to 426.80 and 931.22

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Solution

The third proportional to 426.80 and 931.22 is: 2,031.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.80 : 931.22 = 931.22 : x
  2. Step 2: Convert to fraction form
    426.80/931.22 = 931.22/x
  3. Step 3: Cross multiply
    426.80x = 931.22 × 931.22
  4. Step 4: Simplify right side
    426.80x = 867,168.36
  5. Step 5: Solve for x
    x = 867,168.36/426.80
  6. Step 6: Final answer
    x = 2,031.81

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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.