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Finding the Third Proportional to 228,134 and 340,249

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Solution

The third proportional to 228,134 and 340,249 is: 507,462.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,134 : 340,249 = 340,249 : x
  2. Step 2: Convert to fraction form
    228,134/340,249 = 340,249/x
  3. Step 3: Cross multiply
    228,134x = 340,249 × 340,249
  4. Step 4: Simplify right side
    228,134x = 115,769,382,001
  5. Step 5: Solve for x
    x = 115,769,382,001/228,134
  6. Step 6: Final answer
    x = 507,462.20

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.