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Finding the Third Proportional to 2,436.19 and 5,058.56

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Solution

The third proportional to 2,436.19 and 5,058.56 is: 10,503.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,436.19 : 5,058.56 = 5,058.56 : x
  2. Step 2: Convert to fraction form
    2,436.19/5,058.56 = 5,058.56/x
  3. Step 3: Cross multiply
    2,436.19x = 5,058.56 × 5,058.56
  4. Step 4: Simplify right side
    2,436.19x = 25,589,054.57
  5. Step 5: Solve for x
    x = 25,589,054.57/2,436.19
  6. Step 6: Final answer
    x = 10,503.73

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.