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Finding the Third Proportional to 1,222 and 2,495

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Solution

The third proportional to 1,222 and 2,495 is: 5,094.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,222 : 2,495 = 2,495 : x
  2. Step 2: Convert to fraction form
    1,222/2,495 = 2,495/x
  3. Step 3: Cross multiply
    1,222x = 2,495 × 2,495
  4. Step 4: Simplify right side
    1,222x = 6,225,025
  5. Step 5: Solve for x
    x = 6,225,025/1,222
  6. Step 6: Final answer
    x = 5,094.13

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.