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Finding the Third Proportional to 312,198 and 446,124

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Solution

The third proportional to 312,198 and 446,124 is: 637,501.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,198 : 446,124 = 446,124 : x
  2. Step 2: Convert to fraction form
    312,198/446,124 = 446,124/x
  3. Step 3: Cross multiply
    312,198x = 446,124 × 446,124
  4. Step 4: Simplify right side
    312,198x = 199,026,623,376
  5. Step 5: Solve for x
    x = 199,026,623,376/312,198
  6. Step 6: Final answer
    x = 637,501.28

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.