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Finding the Third Proportional to 400,750 and 842,999

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Solution

The third proportional to 400,750 and 842,999 is: 1,773,293.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,750 : 842,999 = 842,999 : x
  2. Step 2: Convert to fraction form
    400,750/842,999 = 842,999/x
  3. Step 3: Cross multiply
    400,750x = 842,999 × 842,999
  4. Step 4: Simplify right side
    400,750x = 710,647,314,001
  5. Step 5: Solve for x
    x = 710,647,314,001/400,750
  6. Step 6: Final answer
    x = 1,773,293.36

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.