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Finding the Third Proportional to 324,835 and 685,215

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Solution

The third proportional to 324,835 and 685,215 is: 1,445,409.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,835 : 685,215 = 685,215 : x
  2. Step 2: Convert to fraction form
    324,835/685,215 = 685,215/x
  3. Step 3: Cross multiply
    324,835x = 685,215 × 685,215
  4. Step 4: Simplify right side
    324,835x = 469,519,596,225
  5. Step 5: Solve for x
    x = 469,519,596,225/324,835
  6. Step 6: Final answer
    x = 1,445,409.50

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.