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Finding the Third Proportional to 227,370 and 378,927

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Solution

The third proportional to 227,370 and 378,927 is: 631,506.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,370 : 378,927 = 378,927 : x
  2. Step 2: Convert to fraction form
    227,370/378,927 = 378,927/x
  3. Step 3: Cross multiply
    227,370x = 378,927 × 378,927
  4. Step 4: Simplify right side
    227,370x = 143,585,671,329
  5. Step 5: Solve for x
    x = 143,585,671,329/227,370
  6. Step 6: Final answer
    x = 631,506.67

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.