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Finding the Third Proportional to 13,855 and 30,477

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Solution

The third proportional to 13,855 and 30,477 is: 67,040.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,855 : 30,477 = 30,477 : x
  2. Step 2: Convert to fraction form
    13,855/30,477 = 30,477/x
  3. Step 3: Cross multiply
    13,855x = 30,477 × 30,477
  4. Step 4: Simplify right side
    13,855x = 928,847,529
  5. Step 5: Solve for x
    x = 928,847,529/13,855
  6. Step 6: Final answer
    x = 67,040.60

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.