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Finding the Third Proportional to 191,370 and 273,930

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Solution

The third proportional to 191,370 and 273,930 is: 392,107.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,370 : 273,930 = 273,930 : x
  2. Step 2: Convert to fraction form
    191,370/273,930 = 273,930/x
  3. Step 3: Cross multiply
    191,370x = 273,930 × 273,930
  4. Step 4: Simplify right side
    191,370x = 75,037,644,900
  5. Step 5: Solve for x
    x = 75,037,644,900/191,370
  6. Step 6: Final answer
    x = 392,107.67

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.