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Finding the Third Proportional to 75,454 and 159,902

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Solution

The third proportional to 75,454 and 159,902 is: 338,864.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,454 : 159,902 = 159,902 : x
  2. Step 2: Convert to fraction form
    75,454/159,902 = 159,902/x
  3. Step 3: Cross multiply
    75,454x = 159,902 × 159,902
  4. Step 4: Simplify right side
    75,454x = 25,568,649,604
  5. Step 5: Solve for x
    x = 25,568,649,604/75,454
  6. Step 6: Final answer
    x = 338,864.07

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.