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Finding the Third Proportional to 398,604 and 850,422

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Solution

The third proportional to 398,604 and 850,422 is: 1,814,376.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,604 : 850,422 = 850,422 : x
  2. Step 2: Convert to fraction form
    398,604/850,422 = 850,422/x
  3. Step 3: Cross multiply
    398,604x = 850,422 × 850,422
  4. Step 4: Simplify right side
    398,604x = 723,217,578,084
  5. Step 5: Solve for x
    x = 723,217,578,084/398,604
  6. Step 6: Final answer
    x = 1,814,376.12

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.