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Finding the Third Proportional to 198,412.50 and 434,085

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Solution

The third proportional to 198,412.50 and 434,085 is: 949,687.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,412.50 : 434,085 = 434,085 : x
  2. Step 2: Convert to fraction form
    198,412.50/434,085 = 434,085/x
  3. Step 3: Cross multiply
    198,412.50x = 434,085 × 434,085
  4. Step 4: Simplify right side
    198,412.50x = 188,429,787,225
  5. Step 5: Solve for x
    x = 188,429,787,225/198,412.50
  6. Step 6: Final answer
    x = 949,687.08

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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.