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Finding the Third Proportional to 184,709 and 398,889

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Solution

The third proportional to 184,709 and 398,889 is: 861,422.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,709 : 398,889 = 398,889 : x
  2. Step 2: Convert to fraction form
    184,709/398,889 = 398,889/x
  3. Step 3: Cross multiply
    184,709x = 398,889 × 398,889
  4. Step 4: Simplify right side
    184,709x = 159,112,434,321
  5. Step 5: Solve for x
    x = 159,112,434,321/184,709
  6. Step 6: Final answer
    x = 861,422.21

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.