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Finding the Third Proportional to 8,178 and 13,425

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Solution

The third proportional to 8,178 and 13,425 is: 22,038.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,178 : 13,425 = 13,425 : x
  2. Step 2: Convert to fraction form
    8,178/13,425 = 13,425/x
  3. Step 3: Cross multiply
    8,178x = 13,425 × 13,425
  4. Step 4: Simplify right side
    8,178x = 180,230,625
  5. Step 5: Solve for x
    x = 180,230,625/8,178
  6. Step 6: Final answer
    x = 22,038.47

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.