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Finding the Third Proportional to 185,889 and 398,760

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Solution

The third proportional to 185,889 and 398,760 is: 855,400.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,889 : 398,760 = 398,760 : x
  2. Step 2: Convert to fraction form
    185,889/398,760 = 398,760/x
  3. Step 3: Cross multiply
    185,889x = 398,760 × 398,760
  4. Step 4: Simplify right side
    185,889x = 159,009,537,600
  5. Step 5: Solve for x
    x = 159,009,537,600/185,889
  6. Step 6: Final answer
    x = 855,400.47

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.