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Finding the Third Proportional to 15,405 and 33,212

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Solution

The third proportional to 15,405 and 33,212 is: 71,602.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,405 : 33,212 = 33,212 : x
  2. Step 2: Convert to fraction form
    15,405/33,212 = 33,212/x
  3. Step 3: Cross multiply
    15,405x = 33,212 × 33,212
  4. Step 4: Simplify right side
    15,405x = 1,103,036,944
  5. Step 5: Solve for x
    x = 1,103,036,944/15,405
  6. Step 6: Final answer
    x = 71,602.53

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.