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Finding the Third Proportional to 324,852 and 685,248

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Solution

The third proportional to 324,852 and 685,248 is: 1,445,473.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,852 : 685,248 = 685,248 : x
  2. Step 2: Convert to fraction form
    324,852/685,248 = 685,248/x
  3. Step 3: Cross multiply
    324,852x = 685,248 × 685,248
  4. Step 4: Simplify right side
    324,852x = 469,564,821,504
  5. Step 5: Solve for x
    x = 469,564,821,504/324,852
  6. Step 6: Final answer
    x = 1,445,473.08

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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.