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Finding the Third Proportional to 150,399.75 and 321,100.13

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Solution

The third proportional to 150,399.75 and 321,100.13 is: 685,541.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,399.75 : 321,100.13 = 321,100.13 : x
  2. Step 2: Convert to fraction form
    150,399.75/321,100.13 = 321,100.13/x
  3. Step 3: Cross multiply
    150,399.75x = 321,100.13 × 321,100.13
  4. Step 4: Simplify right side
    150,399.75x = 103,105,290,275.02
  5. Step 5: Solve for x
    x = 103,105,290,275.02/150,399.75
  6. Step 6: Final answer
    x = 685,541.63

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.