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Finding the Third Proportional to 2,420 and 5,686

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Solution

The third proportional to 2,420 and 5,686 is: 13,359.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,420 : 5,686 = 5,686 : x
  2. Step 2: Convert to fraction form
    2,420/5,686 = 5,686/x
  3. Step 3: Cross multiply
    2,420x = 5,686 × 5,686
  4. Step 4: Simplify right side
    2,420x = 32,330,596
  5. Step 5: Solve for x
    x = 32,330,596/2,420
  6. Step 6: Final answer
    x = 13,359.75

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.