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Finding the Third Proportional to 12,220 and 19,914

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Solution

The third proportional to 12,220 and 19,914 is: 32,452.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,220 : 19,914 = 19,914 : x
  2. Step 2: Convert to fraction form
    12,220/19,914 = 19,914/x
  3. Step 3: Cross multiply
    12,220x = 19,914 × 19,914
  4. Step 4: Simplify right side
    12,220x = 396,567,396
  5. Step 5: Solve for x
    x = 396,567,396/12,220
  6. Step 6: Final answer
    x = 32,452.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.