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Finding the Third Proportional to 2,350 and 4,857

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Solution

The third proportional to 2,350 and 4,857 is: 10,038.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,350 : 4,857 = 4,857 : x
  2. Step 2: Convert to fraction form
    2,350/4,857 = 4,857/x
  3. Step 3: Cross multiply
    2,350x = 4,857 × 4,857
  4. Step 4: Simplify right side
    2,350x = 23,590,449
  5. Step 5: Solve for x
    x = 23,590,449/2,350
  6. Step 6: Final answer
    x = 10,038.49

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.