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Finding the Third Proportional to 33,302.25 and 71,341.88

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Solution

The third proportional to 33,302.25 and 71,341.88 is: 152,832.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,302.25 : 71,341.88 = 71,341.88 : x
  2. Step 2: Convert to fraction form
    33,302.25/71,341.88 = 71,341.88/x
  3. Step 3: Cross multiply
    33,302.25x = 71,341.88 × 71,341.88
  4. Step 4: Simplify right side
    33,302.25x = 5,089,663,128.52
  5. Step 5: Solve for x
    x = 5,089,663,128.52/33,302.25
  6. Step 6: Final answer
    x = 152,832.41

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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.