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Finding the Third Proportional to 908,619 and 1,982,277

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Solution

The third proportional to 908,619 and 1,982,277 is: 4,324,609.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    908,619 : 1,982,277 = 1,982,277 : x
  2. Step 2: Convert to fraction form
    908,619/1,982,277 = 1,982,277/x
  3. Step 3: Cross multiply
    908,619x = 1,982,277 × 1,982,277
  4. Step 4: Simplify right side
    908,619x = 3,929,422,104,729
  5. Step 5: Solve for x
    x = 3,929,422,104,729/908,619
  6. Step 6: Final answer
    x = 4,324,609.22

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.