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Finding the Third Proportional to 1,296,446 and 1,962,555

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Solution

The third proportional to 1,296,446 and 1,962,555 is: 2,970,908.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,296,446 : 1,962,555 = 1,962,555 : x
  2. Step 2: Convert to fraction form
    1,296,446/1,962,555 = 1,962,555/x
  3. Step 3: Cross multiply
    1,296,446x = 1,962,555 × 1,962,555
  4. Step 4: Simplify right side
    1,296,446x = 3,851,622,128,025
  5. Step 5: Solve for x
    x = 3,851,622,128,025/1,296,446
  6. Step 6: Final answer
    x = 2,970,908.26

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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.