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Finding the Third Proportional to 20,711 and 29,595

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Solution

The third proportional to 20,711 and 29,595 is: 42,289.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,711 : 29,595 = 29,595 : x
  2. Step 2: Convert to fraction form
    20,711/29,595 = 29,595/x
  3. Step 3: Cross multiply
    20,711x = 29,595 × 29,595
  4. Step 4: Simplify right side
    20,711x = 875,864,025
  5. Step 5: Solve for x
    x = 875,864,025/20,711
  6. Step 6: Final answer
    x = 42,289.80

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.