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Finding the Third Proportional to 400,979 and 835,132

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Solution

The third proportional to 400,979 and 835,132 is: 1,739,356.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,979 : 835,132 = 835,132 : x
  2. Step 2: Convert to fraction form
    400,979/835,132 = 835,132/x
  3. Step 3: Cross multiply
    400,979x = 835,132 × 835,132
  4. Step 4: Simplify right side
    400,979x = 697,445,457,424
  5. Step 5: Solve for x
    x = 697,445,457,424/400,979
  6. Step 6: Final answer
    x = 1,739,356.57

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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.