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Finding the Third Proportional to 191,326 and 420,398

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Solution

The third proportional to 191,326 and 420,398 is: 923,734.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,326 : 420,398 = 420,398 : x
  2. Step 2: Convert to fraction form
    191,326/420,398 = 420,398/x
  3. Step 3: Cross multiply
    191,326x = 420,398 × 420,398
  4. Step 4: Simplify right side
    191,326x = 176,734,478,404
  5. Step 5: Solve for x
    x = 176,734,478,404/191,326
  6. Step 6: Final answer
    x = 923,734.77

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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.