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Finding the Third Proportional to 291,205 and 622,891

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Solution

The third proportional to 291,205 and 622,891 is: 1,332,371.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,205 : 622,891 = 622,891 : x
  2. Step 2: Convert to fraction form
    291,205/622,891 = 622,891/x
  3. Step 3: Cross multiply
    291,205x = 622,891 × 622,891
  4. Step 4: Simplify right side
    291,205x = 387,993,197,881
  5. Step 5: Solve for x
    x = 387,993,197,881/291,205
  6. Step 6: Final answer
    x = 1,332,371.35

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.