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Finding the Third Proportional to 20,357 and 29,057

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Solution

The third proportional to 20,357 and 29,057 is: 41,475.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,357 : 29,057 = 29,057 : x
  2. Step 2: Convert to fraction form
    20,357/29,057 = 29,057/x
  3. Step 3: Cross multiply
    20,357x = 29,057 × 29,057
  4. Step 4: Simplify right side
    20,357x = 844,309,249
  5. Step 5: Solve for x
    x = 844,309,249/20,357
  6. Step 6: Final answer
    x = 41,475.13

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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.