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Finding the Third Proportional to 13,577.63 and 25,773.19

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Solution

The third proportional to 13,577.63 and 25,773.19 is: 48,922.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,577.63 : 25,773.19 = 25,773.19 : x
  2. Step 2: Convert to fraction form
    13,577.63/25,773.19 = 25,773.19/x
  3. Step 3: Cross multiply
    13,577.63x = 25,773.19 × 25,773.19
  4. Step 4: Simplify right side
    13,577.63x = 664,257,193.91
  5. Step 5: Solve for x
    x = 664,257,193.91/13,577.63
  6. Step 6: Final answer
    x = 48,922.93

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Why These Related Problems?

These problems maintain the same ratio (1.90) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.