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Finding the Third Proportional to 402,172 and 837,422

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Solution

The third proportional to 402,172 and 837,422 is: 1,743,720.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,172 : 837,422 = 837,422 : x
  2. Step 2: Convert to fraction form
    402,172/837,422 = 837,422/x
  3. Step 3: Cross multiply
    402,172x = 837,422 × 837,422
  4. Step 4: Simplify right side
    402,172x = 701,275,606,084
  5. Step 5: Solve for x
    x = 701,275,606,084/402,172
  6. Step 6: Final answer
    x = 1,743,720.61

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.