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Finding the Third Proportional to 400,749 and 842,997

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Solution

The third proportional to 400,749 and 842,997 is: 1,773,289.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,749 : 842,997 = 842,997 : x
  2. Step 2: Convert to fraction form
    400,749/842,997 = 842,997/x
  3. Step 3: Cross multiply
    400,749x = 842,997 × 842,997
  4. Step 4: Simplify right side
    400,749x = 710,643,942,009
  5. Step 5: Solve for x
    x = 710,643,942,009/400,749
  6. Step 6: Final answer
    x = 1,773,289.37

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Why These Related Problems?

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