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Finding the Third Proportional to 2,812 and 7,210

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Solution

The third proportional to 2,812 and 7,210 is: 18,486.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,812 : 7,210 = 7,210 : x
  2. Step 2: Convert to fraction form
    2,812/7,210 = 7,210/x
  3. Step 3: Cross multiply
    2,812x = 7,210 × 7,210
  4. Step 4: Simplify right side
    2,812x = 51,984,100
  5. Step 5: Solve for x
    x = 51,984,100/2,812
  6. Step 6: Final answer
    x = 18,486.52

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Why These Related Problems?

These problems maintain the same ratio (2.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.