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Finding the Third Proportional to 324,922 and 487,384

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Solution

The third proportional to 324,922 and 487,384 is: 731,077.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,922 : 487,384 = 487,384 : x
  2. Step 2: Convert to fraction form
    324,922/487,384 = 487,384/x
  3. Step 3: Cross multiply
    324,922x = 487,384 × 487,384
  4. Step 4: Simplify right side
    324,922x = 237,543,163,456
  5. Step 5: Solve for x
    x = 237,543,163,456/324,922
  6. Step 6: Final answer
    x = 731,077.50

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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.