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Finding the Third Proportional to 70,120.69 and 150,287.91

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Solution

The third proportional to 70,120.69 and 150,287.91 is: 322,108.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,120.69 : 150,287.91 = 150,287.91 : x
  2. Step 2: Convert to fraction form
    70,120.69/150,287.91 = 150,287.91/x
  3. Step 3: Cross multiply
    70,120.69x = 150,287.91 × 150,287.91
  4. Step 4: Simplify right side
    70,120.69x = 22,586,454,765.01
  5. Step 5: Solve for x
    x = 22,586,454,765.01/70,120.69
  6. Step 6: Final answer
    x = 322,108.29

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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.