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Finding the Third Proportional to 6,940 and 16,418

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Solution

The third proportional to 6,940 and 16,418 is: 38,840.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,940 : 16,418 = 16,418 : x
  2. Step 2: Convert to fraction form
    6,940/16,418 = 16,418/x
  3. Step 3: Cross multiply
    6,940x = 16,418 × 16,418
  4. Step 4: Simplify right side
    6,940x = 269,550,724
  5. Step 5: Solve for x
    x = 269,550,724/6,940
  6. Step 6: Final answer
    x = 38,840.16

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.