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Finding the Third Proportional to 328,636 and 672,840

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Solution

The third proportional to 328,636 and 672,840 is: 1,377,553.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,636 : 672,840 = 672,840 : x
  2. Step 2: Convert to fraction form
    328,636/672,840 = 672,840/x
  3. Step 3: Cross multiply
    328,636x = 672,840 × 672,840
  4. Step 4: Simplify right side
    328,636x = 452,713,665,600
  5. Step 5: Solve for x
    x = 452,713,665,600/328,636
  6. Step 6: Final answer
    x = 1,377,553.48

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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.