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Finding the Third Proportional to 375,177 and 821,505

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Solution

The third proportional to 375,177 and 821,505 is: 1,798,805.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,177 : 821,505 = 821,505 : x
  2. Step 2: Convert to fraction form
    375,177/821,505 = 821,505/x
  3. Step 3: Cross multiply
    375,177x = 821,505 × 821,505
  4. Step 4: Simplify right side
    375,177x = 674,870,465,025
  5. Step 5: Solve for x
    x = 674,870,465,025/375,177
  6. Step 6: Final answer
    x = 1,798,805.54

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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.