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Finding the Third Proportional to 20,009 and 35,311

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Solution

The third proportional to 20,009 and 35,311 is: 62,315.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,009 : 35,311 = 35,311 : x
  2. Step 2: Convert to fraction form
    20,009/35,311 = 35,311/x
  3. Step 3: Cross multiply
    20,009x = 35,311 × 35,311
  4. Step 4: Simplify right side
    20,009x = 1,246,866,721
  5. Step 5: Solve for x
    x = 1,246,866,721/20,009
  6. Step 6: Final answer
    x = 62,315.29

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Why These Related Problems?

These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.