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Finding the Third Proportional to 21,354 and 29,947

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Solution

The third proportional to 21,354 and 29,947 is: 41,997.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,354 : 29,947 = 29,947 : x
  2. Step 2: Convert to fraction form
    21,354/29,947 = 29,947/x
  3. Step 3: Cross multiply
    21,354x = 29,947 × 29,947
  4. Step 4: Simplify right side
    21,354x = 896,822,809
  5. Step 5: Solve for x
    x = 896,822,809/21,354
  6. Step 6: Final answer
    x = 41,997.88

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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.