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Finding the Third Proportional to 198,296 and 282,678

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Solution

The third proportional to 198,296 and 282,678 is: 402,967.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,296 : 282,678 = 282,678 : x
  2. Step 2: Convert to fraction form
    198,296/282,678 = 282,678/x
  3. Step 3: Cross multiply
    198,296x = 282,678 × 282,678
  4. Step 4: Simplify right side
    198,296x = 79,906,851,684
  5. Step 5: Solve for x
    x = 79,906,851,684/198,296
  6. Step 6: Final answer
    x = 402,967.54

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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.