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Finding the Third Proportional to 418,544.25 and 908,439.75

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Solution

The third proportional to 418,544.25 and 908,439.75 is: 1,971,745.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,544.25 : 908,439.75 = 908,439.75 : x
  2. Step 2: Convert to fraction form
    418,544.25/908,439.75 = 908,439.75/x
  3. Step 3: Cross multiply
    418,544.25x = 908,439.75 × 908,439.75
  4. Step 4: Simplify right side
    418,544.25x = 825,262,779,380.06
  5. Step 5: Solve for x
    x = 825,262,779,380.06/418,544.25
  6. Step 6: Final answer
    x = 1,971,745.59

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.