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Finding the Third Proportional to 75,705 and 159,249

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Solution

The third proportional to 75,705 and 159,249 is: 334,987.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,705 : 159,249 = 159,249 : x
  2. Step 2: Convert to fraction form
    75,705/159,249 = 159,249/x
  3. Step 3: Cross multiply
    75,705x = 159,249 × 159,249
  4. Step 4: Simplify right side
    75,705x = 25,360,244,001
  5. Step 5: Solve for x
    x = 25,360,244,001/75,705
  6. Step 6: Final answer
    x = 334,987.70

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.