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Finding the Third Proportional to 326,175 and 661,530

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Solution

The third proportional to 326,175 and 661,530 is: 1,341,678.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,175 : 661,530 = 661,530 : x
  2. Step 2: Convert to fraction form
    326,175/661,530 = 661,530/x
  3. Step 3: Cross multiply
    326,175x = 661,530 × 661,530
  4. Step 4: Simplify right side
    326,175x = 437,621,940,900
  5. Step 5: Solve for x
    x = 437,621,940,900/326,175
  6. Step 6: Final answer
    x = 1,341,678.37

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.