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Finding the Third Proportional to 191,178 and 420,939

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Solution

The third proportional to 191,178 and 420,939 is: 926,830.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,178 : 420,939 = 420,939 : x
  2. Step 2: Convert to fraction form
    191,178/420,939 = 420,939/x
  3. Step 3: Cross multiply
    191,178x = 420,939 × 420,939
  4. Step 4: Simplify right side
    191,178x = 177,189,641,721
  5. Step 5: Solve for x
    x = 177,189,641,721/191,178
  6. Step 6: Final answer
    x = 926,830.71

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.