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Finding the Third Proportional to 115,968 and 222,720

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Solution

The third proportional to 115,968 and 222,720 is: 427,740.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,968 : 222,720 = 222,720 : x
  2. Step 2: Convert to fraction form
    115,968/222,720 = 222,720/x
  3. Step 3: Cross multiply
    115,968x = 222,720 × 222,720
  4. Step 4: Simplify right side
    115,968x = 49,604,198,400
  5. Step 5: Solve for x
    x = 49,604,198,400/115,968
  6. Step 6: Final answer
    x = 427,740.40

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Why These Related Problems?

These problems maintain the same ratio (1.92) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.