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Finding the Third Proportional to 328,640 and 672,848

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Solution

The third proportional to 328,640 and 672,848 is: 1,377,569.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,640 : 672,848 = 672,848 : x
  2. Step 2: Convert to fraction form
    328,640/672,848 = 672,848/x
  3. Step 3: Cross multiply
    328,640x = 672,848 × 672,848
  4. Step 4: Simplify right side
    328,640x = 452,724,431,104
  5. Step 5: Solve for x
    x = 452,724,431,104/328,640
  6. Step 6: Final answer
    x = 1,377,569.47

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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.