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Finding the Third Proportional to 328,646 and 672,832

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Solution

The third proportional to 328,646 and 672,832 is: 1,377,478.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,646 : 672,832 = 672,832 : x
  2. Step 2: Convert to fraction form
    328,646/672,832 = 672,832/x
  3. Step 3: Cross multiply
    328,646x = 672,832 × 672,832
  4. Step 4: Simplify right side
    328,646x = 452,702,900,224
  5. Step 5: Solve for x
    x = 452,702,900,224/328,646
  6. Step 6: Final answer
    x = 1,377,478.81

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.