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Finding the Third Proportional to 198,310 and 435,986

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Solution

The third proportional to 198,310 and 435,986 is: 958,518.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,310 : 435,986 = 435,986 : x
  2. Step 2: Convert to fraction form
    198,310/435,986 = 435,986/x
  3. Step 3: Cross multiply
    198,310x = 435,986 × 435,986
  4. Step 4: Simplify right side
    198,310x = 190,083,792,196
  5. Step 5: Solve for x
    x = 190,083,792,196/198,310
  6. Step 6: Final answer
    x = 958,518.44

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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.