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Finding the Third Proportional to 198,338 and 435,988

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Solution

The third proportional to 198,338 and 435,988 is: 958,391.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,338 : 435,988 = 435,988 : x
  2. Step 2: Convert to fraction form
    198,338/435,988 = 435,988/x
  3. Step 3: Cross multiply
    198,338x = 435,988 × 435,988
  4. Step 4: Simplify right side
    198,338x = 190,085,536,144
  5. Step 5: Solve for x
    x = 190,085,536,144/198,338
  6. Step 6: Final answer
    x = 958,391.92

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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.