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Finding the Third Proportional to 185,718 and 400,992

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Solution

The third proportional to 185,718 and 400,992 is: 865,799.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,718 : 400,992 = 400,992 : x
  2. Step 2: Convert to fraction form
    185,718/400,992 = 400,992/x
  3. Step 3: Cross multiply
    185,718x = 400,992 × 400,992
  4. Step 4: Simplify right side
    185,718x = 160,794,584,064
  5. Step 5: Solve for x
    x = 160,794,584,064/185,718
  6. Step 6: Final answer
    x = 865,799.68

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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.