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Finding the Third Proportional to 576,459 and 821,175

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Solution

The third proportional to 576,459 and 821,175 is: 1,169,776.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,459 : 821,175 = 821,175 : x
  2. Step 2: Convert to fraction form
    576,459/821,175 = 821,175/x
  3. Step 3: Cross multiply
    576,459x = 821,175 × 821,175
  4. Step 4: Simplify right side
    576,459x = 674,328,380,625
  5. Step 5: Solve for x
    x = 674,328,380,625/576,459
  6. Step 6: Final answer
    x = 1,169,776.83

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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.