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Finding the Third Proportional to 21,660 and 33,070

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Solution

The third proportional to 21,660 and 33,070 is: 50,490.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,660 : 33,070 = 33,070 : x
  2. Step 2: Convert to fraction form
    21,660/33,070 = 33,070/x
  3. Step 3: Cross multiply
    21,660x = 33,070 × 33,070
  4. Step 4: Simplify right side
    21,660x = 1,093,624,900
  5. Step 5: Solve for x
    x = 1,093,624,900/21,660
  6. Step 6: Final answer
    x = 50,490.53

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.