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Finding the Third Proportional to 2,431.90 and 5,226.40

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Solution

The third proportional to 2,431.90 and 5,226.40 is: 11,232.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,431.90 : 5,226.40 = 5,226.40 : x
  2. Step 2: Convert to fraction form
    2,431.90/5,226.40 = 5,226.40/x
  3. Step 3: Cross multiply
    2,431.90x = 5,226.40 × 5,226.40
  4. Step 4: Simplify right side
    2,431.90x = 27,315,240.63
  5. Step 5: Solve for x
    x = 27,315,240.63/2,431.90
  6. Step 6: Final answer
    x = 11,232.06

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.