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Finding the Third Proportional to 88,420 and 190,880

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Solution

The third proportional to 88,420 and 190,880 is: 412,069.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,420 : 190,880 = 190,880 : x
  2. Step 2: Convert to fraction form
    88,420/190,880 = 190,880/x
  3. Step 3: Cross multiply
    88,420x = 190,880 × 190,880
  4. Step 4: Simplify right side
    88,420x = 36,435,174,400
  5. Step 5: Solve for x
    x = 36,435,174,400/88,420
  6. Step 6: Final answer
    x = 412,069.38

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.