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Finding the Third Proportional to 111,719 and 239,431

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Solution

The third proportional to 111,719 and 239,431 is: 513,137.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,719 : 239,431 = 239,431 : x
  2. Step 2: Convert to fraction form
    111,719/239,431 = 239,431/x
  3. Step 3: Cross multiply
    111,719x = 239,431 × 239,431
  4. Step 4: Simplify right side
    111,719x = 57,327,203,761
  5. Step 5: Solve for x
    x = 57,327,203,761/111,719
  6. Step 6: Final answer
    x = 513,137.46

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.