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Finding the Third Proportional to 198,678 and 298,455

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Solution

The third proportional to 198,678 and 298,455 is: 448,340.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,678 : 298,455 = 298,455 : x
  2. Step 2: Convert to fraction form
    198,678/298,455 = 298,455/x
  3. Step 3: Cross multiply
    198,678x = 298,455 × 298,455
  4. Step 4: Simplify right side
    198,678x = 89,075,387,025
  5. Step 5: Solve for x
    x = 89,075,387,025/198,678
  6. Step 6: Final answer
    x = 448,340.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.