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Finding the Third Proportional to 191,206 and 420,138

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Solution

The third proportional to 191,206 and 420,138 is: 923,171.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,206 : 420,138 = 420,138 : x
  2. Step 2: Convert to fraction form
    191,206/420,138 = 420,138/x
  3. Step 3: Cross multiply
    191,206x = 420,138 × 420,138
  4. Step 4: Simplify right side
    191,206x = 176,515,939,044
  5. Step 5: Solve for x
    x = 176,515,939,044/191,206
  6. Step 6: Final answer
    x = 923,171.55

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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.