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Finding the Third Proportional to 191,218 and 420,182

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Solution

The third proportional to 191,218 and 420,182 is: 923,306.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,218 : 420,182 = 420,182 : x
  2. Step 2: Convert to fraction form
    191,218/420,182 = 420,182/x
  3. Step 3: Cross multiply
    191,218x = 420,182 × 420,182
  4. Step 4: Simplify right side
    191,218x = 176,552,913,124
  5. Step 5: Solve for x
    x = 176,552,913,124/191,218
  6. Step 6: Final answer
    x = 923,306.97

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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.