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Finding the Third Proportional to 13,275,796.50 and 20,503,278

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Solution

The third proportional to 13,275,796.50 and 20,503,278 is: 31,665,475.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,275,796.50 : 20,503,278 = 20,503,278 : x
  2. Step 2: Convert to fraction form
    13,275,796.50/20,503,278 = 20,503,278/x
  3. Step 3: Cross multiply
    13,275,796.50x = 20,503,278 × 20,503,278
  4. Step 4: Simplify right side
    13,275,796.50x = 420,384,408,745,284
  5. Step 5: Solve for x
    x = 420,384,408,745,284/13,275,796.50
  6. Step 6: Final answer
    x = 31,665,475.49

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.