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Finding the Third Proportional to 111,133 and 239,638

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Solution

The third proportional to 111,133 and 239,638 is: 516,735.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,133 : 239,638 = 239,638 : x
  2. Step 2: Convert to fraction form
    111,133/239,638 = 239,638/x
  3. Step 3: Cross multiply
    111,133x = 239,638 × 239,638
  4. Step 4: Simplify right side
    111,133x = 57,426,371,044
  5. Step 5: Solve for x
    x = 57,426,371,044/111,133
  6. Step 6: Final answer
    x = 516,735.54

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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.