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Finding the Third Proportional to 13,645 and 20,518

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Solution

The third proportional to 13,645 and 20,518 is: 30,852.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,645 : 20,518 = 20,518 : x
  2. Step 2: Convert to fraction form
    13,645/20,518 = 20,518/x
  3. Step 3: Cross multiply
    13,645x = 20,518 × 20,518
  4. Step 4: Simplify right side
    13,645x = 420,988,324
  5. Step 5: Solve for x
    x = 420,988,324/13,645
  6. Step 6: Final answer
    x = 30,852.94

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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.