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Finding the Third Proportional to 12,135.50 and 25,728

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Solution

The third proportional to 12,135.50 and 25,728 is: 54,544.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,135.50 : 25,728 = 25,728 : x
  2. Step 2: Convert to fraction form
    12,135.50/25,728 = 25,728/x
  3. Step 3: Cross multiply
    12,135.50x = 25,728 × 25,728
  4. Step 4: Simplify right side
    12,135.50x = 661,929,984
  5. Step 5: Solve for x
    x = 661,929,984/12,135.50
  6. Step 6: Final answer
    x = 54,544.93

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.