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Finding the Third Proportional to 375,057 and 820,503

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Solution

The third proportional to 375,057 and 820,503 is: 1,794,994.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,057 : 820,503 = 820,503 : x
  2. Step 2: Convert to fraction form
    375,057/820,503 = 820,503/x
  3. Step 3: Cross multiply
    375,057x = 820,503 × 820,503
  4. Step 4: Simplify right side
    375,057x = 673,225,173,009
  5. Step 5: Solve for x
    x = 673,225,173,009/375,057
  6. Step 6: Final answer
    x = 1,794,994.29

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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.