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Finding the Third Proportional to 20,340 and 26,460

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Solution

The third proportional to 20,340 and 26,460 is: 34,421.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,340 : 26,460 = 26,460 : x
  2. Step 2: Convert to fraction form
    20,340/26,460 = 26,460/x
  3. Step 3: Cross multiply
    20,340x = 26,460 × 26,460
  4. Step 4: Simplify right side
    20,340x = 700,131,600
  5. Step 5: Solve for x
    x = 700,131,600/20,340
  6. Step 6: Final answer
    x = 34,421.42

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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.