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Finding the Third Proportional to 2,213 and 2,867.50

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Solution

The third proportional to 2,213 and 2,867.50 is: 3,715.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,213 : 2,867.50 = 2,867.50 : x
  2. Step 2: Convert to fraction form
    2,213/2,867.50 = 2,867.50/x
  3. Step 3: Cross multiply
    2,213x = 2,867.50 × 2,867.50
  4. Step 4: Simplify right side
    2,213x = 8,222,556.25
  5. Step 5: Solve for x
    x = 8,222,556.25/2,213
  6. Step 6: Final answer
    x = 3,715.57

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.