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Finding the Third Proportional to 10,195.50 and 13,721.25

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Solution

The third proportional to 10,195.50 and 13,721.25 is: 18,466.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,195.50 : 13,721.25 = 13,721.25 : x
  2. Step 2: Convert to fraction form
    10,195.50/13,721.25 = 13,721.25/x
  3. Step 3: Cross multiply
    10,195.50x = 13,721.25 × 13,721.25
  4. Step 4: Simplify right side
    10,195.50x = 188,272,701.56
  5. Step 5: Solve for x
    x = 188,272,701.56/10,195.50
  6. Step 6: Final answer
    x = 18,466.25

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.