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Finding the Third Proportional to 111,017 and 239,791

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Solution

The third proportional to 111,017 and 239,791 is: 517,936.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,017 : 239,791 = 239,791 : x
  2. Step 2: Convert to fraction form
    111,017/239,791 = 239,791/x
  3. Step 3: Cross multiply
    111,017x = 239,791 × 239,791
  4. Step 4: Simplify right side
    111,017x = 57,499,723,681
  5. Step 5: Solve for x
    x = 57,499,723,681/111,017
  6. Step 6: Final answer
    x = 517,936.21

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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.