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Finding the Third Proportional to 290,941 and 448,676

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Solution

The third proportional to 290,941 and 448,676 is: 691,927.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,941 : 448,676 = 448,676 : x
  2. Step 2: Convert to fraction form
    290,941/448,676 = 448,676/x
  3. Step 3: Cross multiply
    290,941x = 448,676 × 448,676
  4. Step 4: Simplify right side
    290,941x = 201,310,152,976
  5. Step 5: Solve for x
    x = 201,310,152,976/290,941
  6. Step 6: Final answer
    x = 691,927.76

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.