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Finding the Third Proportional to 12,535 and 18,805

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Solution

The third proportional to 12,535 and 18,805 is: 28,211.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,535 : 18,805 = 18,805 : x
  2. Step 2: Convert to fraction form
    12,535/18,805 = 18,805/x
  3. Step 3: Cross multiply
    12,535x = 18,805 × 18,805
  4. Step 4: Simplify right side
    12,535x = 353,628,025
  5. Step 5: Solve for x
    x = 353,628,025/12,535
  6. Step 6: Final answer
    x = 28,211.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.