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Finding the Third Proportional to 328,642 and 672,852

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Solution

The third proportional to 328,642 and 672,852 is: 1,377,577.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,642 : 672,852 = 672,852 : x
  2. Step 2: Convert to fraction form
    328,642/672,852 = 672,852/x
  3. Step 3: Cross multiply
    328,642x = 672,852 × 672,852
  4. Step 4: Simplify right side
    328,642x = 452,729,813,904
  5. Step 5: Solve for x
    x = 452,729,813,904/328,642
  6. Step 6: Final answer
    x = 1,377,577.47

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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.