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Finding the Third Proportional to 576,453 and 821,167

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Solution

The third proportional to 576,453 and 821,167 is: 1,169,766.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,453 : 821,167 = 821,167 : x
  2. Step 2: Convert to fraction form
    576,453/821,167 = 821,167/x
  3. Step 3: Cross multiply
    576,453x = 821,167 × 821,167
  4. Step 4: Simplify right side
    576,453x = 674,315,241,889
  5. Step 5: Solve for x
    x = 674,315,241,889/576,453
  6. Step 6: Final answer
    x = 1,169,766.21

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.