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Finding the Third Proportional to 21,404 and 29,028

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Solution

The third proportional to 21,404 and 29,028 is: 39,367.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,404 : 29,028 = 29,028 : x
  2. Step 2: Convert to fraction form
    21,404/29,028 = 29,028/x
  3. Step 3: Cross multiply
    21,404x = 29,028 × 29,028
  4. Step 4: Simplify right side
    21,404x = 842,624,784
  5. Step 5: Solve for x
    x = 842,624,784/21,404
  6. Step 6: Final answer
    x = 39,367.63

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.