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Finding the Third Proportional to 20,510 and 29,330

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Solution

The third proportional to 20,510 and 29,330 is: 41,942.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,510 : 29,330 = 29,330 : x
  2. Step 2: Convert to fraction form
    20,510/29,330 = 29,330/x
  3. Step 3: Cross multiply
    20,510x = 29,330 × 29,330
  4. Step 4: Simplify right side
    20,510x = 860,248,900
  5. Step 5: Solve for x
    x = 860,248,900/20,510
  6. Step 6: Final answer
    x = 41,942.90

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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.