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Finding the Third Proportional to 198,370 and 297,988

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Solution

The third proportional to 198,370 and 297,988 is: 447,632.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,370 : 297,988 = 297,988 : x
  2. Step 2: Convert to fraction form
    198,370/297,988 = 297,988/x
  3. Step 3: Cross multiply
    198,370x = 297,988 × 297,988
  4. Step 4: Simplify right side
    198,370x = 88,796,848,144
  5. Step 5: Solve for x
    x = 88,796,848,144/198,370
  6. Step 6: Final answer
    x = 447,632.45

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