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Finding the Third Proportional to 20,560 and 26,920

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Solution

The third proportional to 20,560 and 26,920 is: 35,247.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,560 : 26,920 = 26,920 : x
  2. Step 2: Convert to fraction form
    20,560/26,920 = 26,920/x
  3. Step 3: Cross multiply
    20,560x = 26,920 × 26,920
  4. Step 4: Simplify right side
    20,560x = 724,686,400
  5. Step 5: Solve for x
    x = 724,686,400/20,560
  6. Step 6: Final answer
    x = 35,247.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.