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Finding the Third Proportional to 682,128 and 1,472,832

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Solution

The third proportional to 682,128 and 1,472,832 is: 3,180,098.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,128 : 1,472,832 = 1,472,832 : x
  2. Step 2: Convert to fraction form
    682,128/1,472,832 = 1,472,832/x
  3. Step 3: Cross multiply
    682,128x = 1,472,832 × 1,472,832
  4. Step 4: Simplify right side
    682,128x = 2,169,234,100,224
  5. Step 5: Solve for x
    x = 2,169,234,100,224/682,128
  6. Step 6: Final answer
    x = 3,180,098.31

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.