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Finding the Third Proportional to 323,198 and 434,769

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Solution

The third proportional to 323,198 and 434,769 is: 584,855.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,198 : 434,769 = 434,769 : x
  2. Step 2: Convert to fraction form
    323,198/434,769 = 434,769/x
  3. Step 3: Cross multiply
    323,198x = 434,769 × 434,769
  4. Step 4: Simplify right side
    323,198x = 189,024,083,361
  5. Step 5: Solve for x
    x = 189,024,083,361/323,198
  6. Step 6: Final answer
    x = 584,855.36

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.