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Finding the Third Proportional to 172,018 and 260,619

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Solution

The third proportional to 172,018 and 260,619 is: 394,855.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,018 : 260,619 = 260,619 : x
  2. Step 2: Convert to fraction form
    172,018/260,619 = 260,619/x
  3. Step 3: Cross multiply
    172,018x = 260,619 × 260,619
  4. Step 4: Simplify right side
    172,018x = 67,922,263,161
  5. Step 5: Solve for x
    x = 67,922,263,161/172,018
  6. Step 6: Final answer
    x = 394,855.56

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.