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Finding the Third Proportional to 2,415 and 5,286

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Solution

The third proportional to 2,415 and 5,286 is: 11,570.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,415 : 5,286 = 5,286 : x
  2. Step 2: Convert to fraction form
    2,415/5,286 = 5,286/x
  3. Step 3: Cross multiply
    2,415x = 5,286 × 5,286
  4. Step 4: Simplify right side
    2,415x = 27,941,796
  5. Step 5: Solve for x
    x = 27,941,796/2,415
  6. Step 6: Final answer
    x = 11,570.10

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.