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Finding the Third Proportional to 21,360 and 29,956

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Solution

The third proportional to 21,360 and 29,956 is: 42,011.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,360 : 29,956 = 29,956 : x
  2. Step 2: Convert to fraction form
    21,360/29,956 = 29,956/x
  3. Step 3: Cross multiply
    21,360x = 29,956 × 29,956
  4. Step 4: Simplify right side
    21,360x = 897,361,936
  5. Step 5: Solve for x
    x = 897,361,936/21,360
  6. Step 6: Final answer
    x = 42,011.33

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.