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Finding the Third Proportional to 185,409 and 400,383

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Solution

The third proportional to 185,409 and 400,383 is: 864,610.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,409 : 400,383 = 400,383 : x
  2. Step 2: Convert to fraction form
    185,409/400,383 = 400,383/x
  3. Step 3: Cross multiply
    185,409x = 400,383 × 400,383
  4. Step 4: Simplify right side
    185,409x = 160,306,546,689
  5. Step 5: Solve for x
    x = 160,306,546,689/185,409
  6. Step 6: Final answer
    x = 864,610.38

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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.