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Finding the Third Proportional to 20,776 and 29,260

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Solution

The third proportional to 20,776 and 29,260 is: 41,208.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,776 : 29,260 = 29,260 : x
  2. Step 2: Convert to fraction form
    20,776/29,260 = 29,260/x
  3. Step 3: Cross multiply
    20,776x = 29,260 × 29,260
  4. Step 4: Simplify right side
    20,776x = 856,147,600
  5. Step 5: Solve for x
    x = 856,147,600/20,776
  6. Step 6: Final answer
    x = 41,208.49

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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.