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Finding the Third Proportional to 8,420 and 19,922

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Solution

The third proportional to 8,420 and 19,922 is: 47,136.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,420 : 19,922 = 19,922 : x
  2. Step 2: Convert to fraction form
    8,420/19,922 = 19,922/x
  3. Step 3: Cross multiply
    8,420x = 19,922 × 19,922
  4. Step 4: Simplify right side
    8,420x = 396,886,084
  5. Step 5: Solve for x
    x = 396,886,084/8,420
  6. Step 6: Final answer
    x = 47,136.11

Related Problems

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Double scale
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1.5x scale

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.