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Finding the Third Proportional to 198,290 and 435,946

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Solution

The third proportional to 198,290 and 435,946 is: 958,439.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,290 : 435,946 = 435,946 : x
  2. Step 2: Convert to fraction form
    198,290/435,946 = 435,946/x
  3. Step 3: Cross multiply
    198,290x = 435,946 × 435,946
  4. Step 4: Simplify right side
    198,290x = 190,048,914,916
  5. Step 5: Solve for x
    x = 190,048,914,916/198,290
  6. Step 6: Final answer
    x = 958,439.23

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.