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Finding the Third Proportional to 2,291.25 and 3,431.63

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Solution

The third proportional to 2,291.25 and 3,431.63 is: 5,139.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,291.25 : 3,431.63 = 3,431.63 : x
  2. Step 2: Convert to fraction form
    2,291.25/3,431.63 = 3,431.63/x
  3. Step 3: Cross multiply
    2,291.25x = 3,431.63 × 3,431.63
  4. Step 4: Simplify right side
    2,291.25x = 11,776,050.14
  5. Step 5: Solve for x
    x = 11,776,050.14/2,291.25
  6. Step 6: Final answer
    x = 5,139.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.