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Finding the Third Proportional to 328,651 and 672,878

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Solution

The third proportional to 328,651 and 672,878 is: 1,377,646.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,651 : 672,878 = 672,878 : x
  2. Step 2: Convert to fraction form
    328,651/672,878 = 672,878/x
  3. Step 3: Cross multiply
    328,651x = 672,878 × 672,878
  4. Step 4: Simplify right side
    328,651x = 452,764,802,884
  5. Step 5: Solve for x
    x = 452,764,802,884/328,651
  6. Step 6: Final answer
    x = 1,377,646.20

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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.