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Finding the Third Proportional to 259,278 and 388,922

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Solution

The third proportional to 259,278 and 388,922 is: 583,390.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,278 : 388,922 = 388,922 : x
  2. Step 2: Convert to fraction form
    259,278/388,922 = 388,922/x
  3. Step 3: Cross multiply
    259,278x = 388,922 × 388,922
  4. Step 4: Simplify right side
    259,278x = 151,260,322,084
  5. Step 5: Solve for x
    x = 151,260,322,084/259,278
  6. Step 6: Final answer
    x = 583,390.50

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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.