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Finding the Third Proportional to 14,258 and 20,120

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Solution

The third proportional to 14,258 and 20,120 is: 28,392.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,258 : 20,120 = 20,120 : x
  2. Step 2: Convert to fraction form
    14,258/20,120 = 20,120/x
  3. Step 3: Cross multiply
    14,258x = 20,120 × 20,120
  4. Step 4: Simplify right side
    14,258x = 404,814,400
  5. Step 5: Solve for x
    x = 404,814,400/14,258
  6. Step 6: Final answer
    x = 28,392.09

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.