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Finding the Third Proportional to 375,002 and 821,236

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Solution

The third proportional to 375,002 and 821,236 is: 1,798,466.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,002 : 821,236 = 821,236 : x
  2. Step 2: Convert to fraction form
    375,002/821,236 = 821,236/x
  3. Step 3: Cross multiply
    375,002x = 821,236 × 821,236
  4. Step 4: Simplify right side
    375,002x = 674,428,567,696
  5. Step 5: Solve for x
    x = 674,428,567,696/375,002
  6. Step 6: Final answer
    x = 1,798,466.59

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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.