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Finding the Third Proportional to 248,568 and 388,846

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Solution

The third proportional to 248,568 and 388,846 is: 608,289.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,568 : 388,846 = 388,846 : x
  2. Step 2: Convert to fraction form
    248,568/388,846 = 388,846/x
  3. Step 3: Cross multiply
    248,568x = 388,846 × 388,846
  4. Step 4: Simplify right side
    248,568x = 151,201,211,716
  5. Step 5: Solve for x
    x = 151,201,211,716/248,568
  6. Step 6: Final answer
    x = 608,289.13

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.