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Finding the Third Proportional to 458,013 and 978,921

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Solution

The third proportional to 458,013 and 978,921 is: 2,092,268.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,013 : 978,921 = 978,921 : x
  2. Step 2: Convert to fraction form
    458,013/978,921 = 978,921/x
  3. Step 3: Cross multiply
    458,013x = 978,921 × 978,921
  4. Step 4: Simplify right side
    458,013x = 958,286,324,241
  5. Step 5: Solve for x
    x = 958,286,324,241/458,013
  6. Step 6: Final answer
    x = 2,092,268.83

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.