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Finding the Third Proportional to 12,735.75 and 19,743

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Solution

The third proportional to 12,735.75 and 19,743 is: 30,605.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,735.75 : 19,743 = 19,743 : x
  2. Step 2: Convert to fraction form
    12,735.75/19,743 = 19,743/x
  3. Step 3: Cross multiply
    12,735.75x = 19,743 × 19,743
  4. Step 4: Simplify right side
    12,735.75x = 389,786,049
  5. Step 5: Solve for x
    x = 389,786,049/12,735.75
  6. Step 6: Final answer
    x = 30,605.66

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.