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Finding the Third Proportional to 91,978 and 201,620

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Solution

The third proportional to 91,978 and 201,620 is: 441,960.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,978 : 201,620 = 201,620 : x
  2. Step 2: Convert to fraction form
    91,978/201,620 = 201,620/x
  3. Step 3: Cross multiply
    91,978x = 201,620 × 201,620
  4. Step 4: Simplify right side
    91,978x = 40,650,624,400
  5. Step 5: Solve for x
    x = 40,650,624,400/91,978
  6. Step 6: Final answer
    x = 441,960.30

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.