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Finding the Third Proportional to 2,209 and 2,428

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Solution

The third proportional to 2,209 and 2,428 is: 2,668.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,209 : 2,428 = 2,428 : x
  2. Step 2: Convert to fraction form
    2,209/2,428 = 2,428/x
  3. Step 3: Cross multiply
    2,209x = 2,428 × 2,428
  4. Step 4: Simplify right side
    2,209x = 5,895,184
  5. Step 5: Solve for x
    x = 5,895,184/2,209
  6. Step 6: Final answer
    x = 2,668.71

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.