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Finding the Third Proportional to 191,214 and 420,174

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Solution

The third proportional to 191,214 and 420,174 is: 923,291.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,214 : 420,174 = 420,174 : x
  2. Step 2: Convert to fraction form
    191,214/420,174 = 420,174/x
  3. Step 3: Cross multiply
    191,214x = 420,174 × 420,174
  4. Step 4: Simplify right side
    191,214x = 176,546,190,276
  5. Step 5: Solve for x
    x = 176,546,190,276/191,214
  6. Step 6: Final answer
    x = 923,291.13

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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.