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Finding the Third Proportional to 913.31 and 1,431.19

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Solution

The third proportional to 913.31 and 1,431.19 is: 2,242.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    913.31 : 1,431.19 = 1,431.19 : x
  2. Step 2: Convert to fraction form
    913.31/1,431.19 = 1,431.19/x
  3. Step 3: Cross multiply
    913.31x = 1,431.19 × 1,431.19
  4. Step 4: Simplify right side
    913.31x = 2,048,297.66
  5. Step 5: Solve for x
    x = 2,048,297.66/913.31
  6. Step 6: Final answer
    x = 2,242.71

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.