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Finding the Third Proportional to 400,977 and 835,128

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Solution

The third proportional to 400,977 and 835,128 is: 1,739,348.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,977 : 835,128 = 835,128 : x
  2. Step 2: Convert to fraction form
    400,977/835,128 = 835,128/x
  3. Step 3: Cross multiply
    400,977x = 835,128 × 835,128
  4. Step 4: Simplify right side
    400,977x = 697,438,776,384
  5. Step 5: Solve for x
    x = 697,438,776,384/400,977
  6. Step 6: Final answer
    x = 1,739,348.58

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.