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Finding the Third Proportional to 70,129.23 and 150,228.11

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Solution

The third proportional to 70,129.23 and 150,228.11 is: 321,812.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,129.23 : 150,228.11 = 150,228.11 : x
  2. Step 2: Convert to fraction form
    70,129.23/150,228.11 = 150,228.11/x
  3. Step 3: Cross multiply
    70,129.23x = 150,228.11 × 150,228.11
  4. Step 4: Simplify right side
    70,129.23x = 22,568,483,672.73
  5. Step 5: Solve for x
    x = 22,568,483,672.73/70,129.23
  6. Step 6: Final answer
    x = 321,812.80

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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.