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Finding the Third Proportional to 198,423 and 434,105

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Solution

The third proportional to 198,423 and 434,105 is: 949,724.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,423 : 434,105 = 434,105 : x
  2. Step 2: Convert to fraction form
    198,423/434,105 = 434,105/x
  3. Step 3: Cross multiply
    198,423x = 434,105 × 434,105
  4. Step 4: Simplify right side
    198,423x = 188,447,151,025
  5. Step 5: Solve for x
    x = 188,447,151,025/198,423
  6. Step 6: Final answer
    x = 949,724.33

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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.