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Finding the Third Proportional to 414,319 and 902,447

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Solution

The third proportional to 414,319 and 902,447 is: 1,965,660.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,319 : 902,447 = 902,447 : x
  2. Step 2: Convert to fraction form
    414,319/902,447 = 902,447/x
  3. Step 3: Cross multiply
    414,319x = 902,447 × 902,447
  4. Step 4: Simplify right side
    414,319x = 814,410,587,809
  5. Step 5: Solve for x
    x = 814,410,587,809/414,319
  6. Step 6: Final answer
    x = 1,965,660.73

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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.