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Finding the Third Proportional to 15,726 and 33,621

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Solution

The third proportional to 15,726 and 33,621 is: 71,879.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,726 : 33,621 = 33,621 : x
  2. Step 2: Convert to fraction form
    15,726/33,621 = 33,621/x
  3. Step 3: Cross multiply
    15,726x = 33,621 × 33,621
  4. Step 4: Simplify right side
    15,726x = 1,130,371,641
  5. Step 5: Solve for x
    x = 1,130,371,641/15,726
  6. Step 6: Final answer
    x = 71,879.16

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.