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Finding the Third Proportional to 908 and 2,209

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Solution

The third proportional to 908 and 2,209 is: 5,374.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    908 : 2,209 = 2,209 : x
  2. Step 2: Convert to fraction form
    908/2,209 = 2,209/x
  3. Step 3: Cross multiply
    908x = 2,209 × 2,209
  4. Step 4: Simplify right side
    908x = 4,879,681
  5. Step 5: Solve for x
    x = 4,879,681/908
  6. Step 6: Final answer
    x = 5,374.10

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Why These Related Problems?

These problems maintain the same ratio (2.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.