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Finding the Third Proportional to 251,997 and 389,904

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Solution

The third proportional to 251,997 and 389,904 is: 603,281.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,997 : 389,904 = 389,904 : x
  2. Step 2: Convert to fraction form
    251,997/389,904 = 389,904/x
  3. Step 3: Cross multiply
    251,997x = 389,904 × 389,904
  4. Step 4: Simplify right side
    251,997x = 152,025,129,216
  5. Step 5: Solve for x
    x = 152,025,129,216/251,997
  6. Step 6: Final answer
    x = 603,281.50

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.