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Finding the Third Proportional to 198,307 and 435,980

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Solution

The third proportional to 198,307 and 435,980 is: 958,506.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,307 : 435,980 = 435,980 : x
  2. Step 2: Convert to fraction form
    198,307/435,980 = 435,980/x
  3. Step 3: Cross multiply
    198,307x = 435,980 × 435,980
  4. Step 4: Simplify right side
    198,307x = 190,078,560,400
  5. Step 5: Solve for x
    x = 190,078,560,400/198,307
  6. Step 6: Final answer
    x = 958,506.56

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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.