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Finding the Third Proportional to 51,857 and 82,455

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Solution

The third proportional to 51,857 and 82,455 is: 131,107.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,857 : 82,455 = 82,455 : x
  2. Step 2: Convert to fraction form
    51,857/82,455 = 82,455/x
  3. Step 3: Cross multiply
    51,857x = 82,455 × 82,455
  4. Step 4: Simplify right side
    51,857x = 6,798,827,025
  5. Step 5: Solve for x
    x = 6,798,827,025/51,857
  6. Step 6: Final answer
    x = 131,107.22

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.