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Finding the Third Proportional to 260,048 and 388,356

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Solution

The third proportional to 260,048 and 388,356 is: 579,971.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,048 : 388,356 = 388,356 : x
  2. Step 2: Convert to fraction form
    260,048/388,356 = 388,356/x
  3. Step 3: Cross multiply
    260,048x = 388,356 × 388,356
  4. Step 4: Simplify right side
    260,048x = 150,820,382,736
  5. Step 5: Solve for x
    x = 150,820,382,736/260,048
  6. Step 6: Final answer
    x = 579,971.32

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.