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Finding the Third Proportional to 6,840 and 11,220

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Solution

The third proportional to 6,840 and 11,220 is: 18,404.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,840 : 11,220 = 11,220 : x
  2. Step 2: Convert to fraction form
    6,840/11,220 = 11,220/x
  3. Step 3: Cross multiply
    6,840x = 11,220 × 11,220
  4. Step 4: Simplify right side
    6,840x = 125,888,400
  5. Step 5: Solve for x
    x = 125,888,400/6,840
  6. Step 6: Final answer
    x = 18,404.74

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1.5x scale

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.