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Finding the Third Proportional to 324,218 and 485,031

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Solution

The third proportional to 324,218 and 485,031 is: 725,607.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,218 : 485,031 = 485,031 : x
  2. Step 2: Convert to fraction form
    324,218/485,031 = 485,031/x
  3. Step 3: Cross multiply
    324,218x = 485,031 × 485,031
  4. Step 4: Simplify right side
    324,218x = 235,255,070,961
  5. Step 5: Solve for x
    x = 235,255,070,961/324,218
  6. Step 6: Final answer
    x = 725,607.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.