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Finding the Third Proportional to 91,380 and 198,280

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Solution

The third proportional to 91,380 and 198,280 is: 430,235.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,380 : 198,280 = 198,280 : x
  2. Step 2: Convert to fraction form
    91,380/198,280 = 198,280/x
  3. Step 3: Cross multiply
    91,380x = 198,280 × 198,280
  4. Step 4: Simplify right side
    91,380x = 39,314,958,400
  5. Step 5: Solve for x
    x = 39,314,958,400/91,380
  6. Step 6: Final answer
    x = 430,235.92

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.