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Finding the Third Proportional to 111,070 and 239,880

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Solution

The third proportional to 111,070 and 239,880 is: 518,073.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,070 : 239,880 = 239,880 : x
  2. Step 2: Convert to fraction form
    111,070/239,880 = 239,880/x
  3. Step 3: Cross multiply
    111,070x = 239,880 × 239,880
  4. Step 4: Simplify right side
    111,070x = 57,542,414,400
  5. Step 5: Solve for x
    x = 57,542,414,400/111,070
  6. Step 6: Final answer
    x = 518,073.42

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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.