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Finding the Third Proportional to 10,193.25 and 15,100.75

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Solution

The third proportional to 10,193.25 and 15,100.75 is: 22,370.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,193.25 : 15,100.75 = 15,100.75 : x
  2. Step 2: Convert to fraction form
    10,193.25/15,100.75 = 15,100.75/x
  3. Step 3: Cross multiply
    10,193.25x = 15,100.75 × 15,100.75
  4. Step 4: Simplify right side
    10,193.25x = 228,032,650.56
  5. Step 5: Solve for x
    x = 228,032,650.56/10,193.25
  6. Step 6: Final answer
    x = 22,370.95

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.