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Finding the Third Proportional to 251,603 and 380,676

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Solution

The third proportional to 251,603 and 380,676 is: 575,963.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,603 : 380,676 = 380,676 : x
  2. Step 2: Convert to fraction form
    251,603/380,676 = 380,676/x
  3. Step 3: Cross multiply
    251,603x = 380,676 × 380,676
  4. Step 4: Simplify right side
    251,603x = 144,914,216,976
  5. Step 5: Solve for x
    x = 144,914,216,976/251,603
  6. Step 6: Final answer
    x = 575,963.79

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.