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Finding the Third Proportional to 611.75 and 1,284.25

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Solution

The third proportional to 611.75 and 1,284.25 is: 2,696.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.75 : 1,284.25 = 1,284.25 : x
  2. Step 2: Convert to fraction form
    611.75/1,284.25 = 1,284.25/x
  3. Step 3: Cross multiply
    611.75x = 1,284.25 × 1,284.25
  4. Step 4: Simplify right side
    611.75x = 1,649,298.06
  5. Step 5: Solve for x
    x = 1,649,298.06/611.75
  6. Step 6: Final answer
    x = 2,696.03

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.