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Finding the Third Proportional to 8,400 and 15,546

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Solution

The third proportional to 8,400 and 15,546 is: 28,771.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,400 : 15,546 = 15,546 : x
  2. Step 2: Convert to fraction form
    8,400/15,546 = 15,546/x
  3. Step 3: Cross multiply
    8,400x = 15,546 × 15,546
  4. Step 4: Simplify right side
    8,400x = 241,678,116
  5. Step 5: Solve for x
    x = 241,678,116/8,400
  6. Step 6: Final answer
    x = 28,771.20

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.