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Finding the Third Proportional to 270,399.75 and 424,161.75

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Solution

The third proportional to 270,399.75 and 424,161.75 is: 665,360.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,399.75 : 424,161.75 = 424,161.75 : x
  2. Step 2: Convert to fraction form
    270,399.75/424,161.75 = 424,161.75/x
  3. Step 3: Cross multiply
    270,399.75x = 424,161.75 × 424,161.75
  4. Step 4: Simplify right side
    270,399.75x = 179,913,190,163.06
  5. Step 5: Solve for x
    x = 179,913,190,163.06/270,399.75
  6. Step 6: Final answer
    x = 665,360.05

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.