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Finding the Third Proportional to 857 and 2,068.25

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Solution

The third proportional to 857 and 2,068.25 is: 4,991.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    857 : 2,068.25 = 2,068.25 : x
  2. Step 2: Convert to fraction form
    857/2,068.25 = 2,068.25/x
  3. Step 3: Cross multiply
    857x = 2,068.25 × 2,068.25
  4. Step 4: Simplify right side
    857x = 4,277,658.06
  5. Step 5: Solve for x
    x = 4,277,658.06/857
  6. Step 6: Final answer
    x = 4,991.43

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.