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Finding the Third Proportional to 259,275 and 388,917

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Solution

The third proportional to 259,275 and 388,917 is: 583,382.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,275 : 388,917 = 388,917 : x
  2. Step 2: Convert to fraction form
    259,275/388,917 = 388,917/x
  3. Step 3: Cross multiply
    259,275x = 388,917 × 388,917
  4. Step 4: Simplify right side
    259,275x = 151,256,432,889
  5. Step 5: Solve for x
    x = 151,256,432,889/259,275
  6. Step 6: Final answer
    x = 583,382.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.