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Finding the Third Proportional to 161,958 and 254,040.75

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Solution

The third proportional to 161,958 and 254,040.75 is: 398,478.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,958 : 254,040.75 = 254,040.75 : x
  2. Step 2: Convert to fraction form
    161,958/254,040.75 = 254,040.75/x
  3. Step 3: Cross multiply
    161,958x = 254,040.75 × 254,040.75
  4. Step 4: Simplify right side
    161,958x = 64,536,702,660.56
  5. Step 5: Solve for x
    x = 64,536,702,660.56/161,958
  6. Step 6: Final answer
    x = 398,478.02

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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.