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Finding the Third Proportional to 133,774 and 210,229

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Solution

The third proportional to 133,774 and 210,229 is: 330,379.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,774 : 210,229 = 210,229 : x
  2. Step 2: Convert to fraction form
    133,774/210,229 = 210,229/x
  3. Step 3: Cross multiply
    133,774x = 210,229 × 210,229
  4. Step 4: Simplify right side
    133,774x = 44,196,232,441
  5. Step 5: Solve for x
    x = 44,196,232,441/133,774
  6. Step 6: Final answer
    x = 330,379.84

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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.