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Finding the Third Proportional to 33,309 and 72,054

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Solution

The third proportional to 33,309 and 72,054 is: 155,867.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,309 : 72,054 = 72,054 : x
  2. Step 2: Convert to fraction form
    33,309/72,054 = 72,054/x
  3. Step 3: Cross multiply
    33,309x = 72,054 × 72,054
  4. Step 4: Simplify right side
    33,309x = 5,191,778,916
  5. Step 5: Solve for x
    x = 5,191,778,916/33,309
  6. Step 6: Final answer
    x = 155,867.15

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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.