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Finding the Third Proportional to 2,212 and 2,556

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Solution

The third proportional to 2,212 and 2,556 is: 2,953.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,212 : 2,556 = 2,556 : x
  2. Step 2: Convert to fraction form
    2,212/2,556 = 2,556/x
  3. Step 3: Cross multiply
    2,212x = 2,556 × 2,556
  4. Step 4: Simplify right side
    2,212x = 6,533,136
  5. Step 5: Solve for x
    x = 6,533,136/2,212
  6. Step 6: Final answer
    x = 2,953.50

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Why These Related Problems?

These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.