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Finding the Third Proportional to 2,850.19 and 5,256.14

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Solution

The third proportional to 2,850.19 and 5,256.14 is: 9,693.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,850.19 : 5,256.14 = 5,256.14 : x
  2. Step 2: Convert to fraction form
    2,850.19/5,256.14 = 5,256.14/x
  3. Step 3: Cross multiply
    2,850.19x = 5,256.14 × 5,256.14
  4. Step 4: Simplify right side
    2,850.19x = 27,627,014.27
  5. Step 5: Solve for x
    x = 27,627,014.27/2,850.19
  6. Step 6: Final answer
    x = 9,693.05

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Why These Related Problems?

These problems maintain the same ratio (1.84) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.