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Finding the Third Proportional to 33,301.50 and 71,341.13

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Solution

The third proportional to 33,301.50 and 71,341.13 is: 152,832.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,301.50 : 71,341.13 = 71,341.13 : x
  2. Step 2: Convert to fraction form
    33,301.50/71,341.13 = 71,341.13/x
  3. Step 3: Cross multiply
    33,301.50x = 71,341.13 × 71,341.13
  4. Step 4: Simplify right side
    33,301.50x = 5,089,556,116.27
  5. Step 5: Solve for x
    x = 5,089,556,116.27/33,301.50
  6. Step 6: Final answer
    x = 152,832.64

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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.