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Finding the Third Proportional to 6,815 and 16,420

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Solution

The third proportional to 6,815 and 16,420 is: 39,562.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,815 : 16,420 = 16,420 : x
  2. Step 2: Convert to fraction form
    6,815/16,420 = 16,420/x
  3. Step 3: Cross multiply
    6,815x = 16,420 × 16,420
  4. Step 4: Simplify right side
    6,815x = 269,616,400
  5. Step 5: Solve for x
    x = 269,616,400/6,815
  6. Step 6: Final answer
    x = 39,562.20

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.