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Finding the Third Proportional to 185,726 and 279,939

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Solution

The third proportional to 185,726 and 279,939 is: 421,943.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,726 : 279,939 = 279,939 : x
  2. Step 2: Convert to fraction form
    185,726/279,939 = 279,939/x
  3. Step 3: Cross multiply
    185,726x = 279,939 × 279,939
  4. Step 4: Simplify right side
    185,726x = 78,365,843,721
  5. Step 5: Solve for x
    x = 78,365,843,721/185,726
  6. Step 6: Final answer
    x = 421,943.31

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.