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Finding the Third Proportional to 20,120 and 26,140

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Solution

The third proportional to 20,120 and 26,140 is: 33,961.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,120 : 26,140 = 26,140 : x
  2. Step 2: Convert to fraction form
    20,120/26,140 = 26,140/x
  3. Step 3: Cross multiply
    20,120x = 26,140 × 26,140
  4. Step 4: Simplify right side
    20,120x = 683,299,600
  5. Step 5: Solve for x
    x = 683,299,600/20,120
  6. Step 6: Final answer
    x = 33,961.21

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.