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Finding the Third Proportional to 402,344 and 879,422

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Solution

The third proportional to 402,344 and 879,422 is: 1,922,193.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,344 : 879,422 = 879,422 : x
  2. Step 2: Convert to fraction form
    402,344/879,422 = 879,422/x
  3. Step 3: Cross multiply
    402,344x = 879,422 × 879,422
  4. Step 4: Simplify right side
    402,344x = 773,383,054,084
  5. Step 5: Solve for x
    x = 773,383,054,084/402,344
  6. Step 6: Final answer
    x = 1,922,193.58

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.