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Finding the Third Proportional to 699,105 and 1,489,722

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Solution

The third proportional to 699,105 and 1,489,722 is: 3,174,446.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    699,105 : 1,489,722 = 1,489,722 : x
  2. Step 2: Convert to fraction form
    699,105/1,489,722 = 1,489,722/x
  3. Step 3: Cross multiply
    699,105x = 1,489,722 × 1,489,722
  4. Step 4: Simplify right side
    699,105x = 2,219,271,637,284
  5. Step 5: Solve for x
    x = 2,219,271,637,284/699,105
  6. Step 6: Final answer
    x = 3,174,446.81

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.