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Finding the Third Proportional to 682,115.20 and 1,136,790.28

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Solution

The third proportional to 682,115.20 and 1,136,790.28 is: 1,894,536.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,115.20 : 1,136,790.28 = 1,136,790.28 : x
  2. Step 2: Convert to fraction form
    682,115.20/1,136,790.28 = 1,136,790.28/x
  3. Step 3: Cross multiply
    682,115.20x = 1,136,790.28 × 1,136,790.28
  4. Step 4: Simplify right side
    682,115.20x = 1,292,292,143,544.45
  5. Step 5: Solve for x
    x = 1,292,292,143,544.45/682,115.20
  6. Step 6: Final answer
    x = 1,894,536.49

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.