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Finding the Third Proportional to 721,058 and 1,669,205

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Solution

The third proportional to 721,058 and 1,669,205 is: 3,864,107.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    721,058 : 1,669,205 = 1,669,205 : x
  2. Step 2: Convert to fraction form
    721,058/1,669,205 = 1,669,205/x
  3. Step 3: Cross multiply
    721,058x = 1,669,205 × 1,669,205
  4. Step 4: Simplify right side
    721,058x = 2,786,245,332,025
  5. Step 5: Solve for x
    x = 2,786,245,332,025/721,058
  6. Step 6: Final answer
    x = 3,864,107.09

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.