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Finding the Third Proportional to 2,428 and 3,986

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Solution

The third proportional to 2,428 and 3,986 is: 6,543.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,428 : 3,986 = 3,986 : x
  2. Step 2: Convert to fraction form
    2,428/3,986 = 3,986/x
  3. Step 3: Cross multiply
    2,428x = 3,986 × 3,986
  4. Step 4: Simplify right side
    2,428x = 15,888,196
  5. Step 5: Solve for x
    x = 15,888,196/2,428
  6. Step 6: Final answer
    x = 6,543.74

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.