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Finding the Third Proportional to 198,418.50 and 434,097

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Solution

The third proportional to 198,418.50 and 434,097 is: 949,710.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,418.50 : 434,097 = 434,097 : x
  2. Step 2: Convert to fraction form
    198,418.50/434,097 = 434,097/x
  3. Step 3: Cross multiply
    198,418.50x = 434,097 × 434,097
  4. Step 4: Simplify right side
    198,418.50x = 188,440,205,409
  5. Step 5: Solve for x
    x = 188,440,205,409/198,418.50
  6. Step 6: Final answer
    x = 949,710.87

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.