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Finding the Third Proportional to 111,368 and 239,968

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Solution

The third proportional to 111,368 and 239,968 is: 517,066.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,368 : 239,968 = 239,968 : x
  2. Step 2: Convert to fraction form
    111,368/239,968 = 239,968/x
  3. Step 3: Cross multiply
    111,368x = 239,968 × 239,968
  4. Step 4: Simplify right side
    111,368x = 57,584,641,024
  5. Step 5: Solve for x
    x = 57,584,641,024/111,368
  6. Step 6: Final answer
    x = 517,066.31

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.