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Finding the Third Proportional to 20,356 and 29,974

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Solution

The third proportional to 20,356 and 29,974 is: 44,136.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,356 : 29,974 = 29,974 : x
  2. Step 2: Convert to fraction form
    20,356/29,974 = 29,974/x
  3. Step 3: Cross multiply
    20,356x = 29,974 × 29,974
  4. Step 4: Simplify right side
    20,356x = 898,440,676
  5. Step 5: Solve for x
    x = 898,440,676/20,356
  6. Step 6: Final answer
    x = 44,136.41

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.