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Finding the Third Proportional to 33,302.25 and 71,343

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Solution

The third proportional to 33,302.25 and 71,343 is: 152,837.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,302.25 : 71,343 = 71,343 : x
  2. Step 2: Convert to fraction form
    33,302.25/71,343 = 71,343/x
  3. Step 3: Cross multiply
    33,302.25x = 71,343 × 71,343
  4. Step 4: Simplify right side
    33,302.25x = 5,089,823,649
  5. Step 5: Solve for x
    x = 5,089,823,649/33,302.25
  6. Step 6: Final answer
    x = 152,837.23

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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.