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Finding the Third Proportional to 21,302 and 33,708

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Solution

The third proportional to 21,302 and 33,708 is: 53,339.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,302 : 33,708 = 33,708 : x
  2. Step 2: Convert to fraction form
    21,302/33,708 = 33,708/x
  3. Step 3: Cross multiply
    21,302x = 33,708 × 33,708
  4. Step 4: Simplify right side
    21,302x = 1,136,229,264
  5. Step 5: Solve for x
    x = 1,136,229,264/21,302
  6. Step 6: Final answer
    x = 53,339.09

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.