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Finding the Third Proportional to 115,839 and 212,457

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Solution

The third proportional to 115,839 and 212,457 is: 389,661.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,839 : 212,457 = 212,457 : x
  2. Step 2: Convert to fraction form
    115,839/212,457 = 212,457/x
  3. Step 3: Cross multiply
    115,839x = 212,457 × 212,457
  4. Step 4: Simplify right side
    115,839x = 45,137,976,849
  5. Step 5: Solve for x
    x = 45,137,976,849/115,839
  6. Step 6: Final answer
    x = 389,661.31

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Why These Related Problems?

These problems maintain the same ratio (1.83) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.