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Finding the Third Proportional to 328,664 and 690,536

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Solution

The third proportional to 328,664 and 690,536 is: 1,450,843.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,664 : 690,536 = 690,536 : x
  2. Step 2: Convert to fraction form
    328,664/690,536 = 690,536/x
  3. Step 3: Cross multiply
    328,664x = 690,536 × 690,536
  4. Step 4: Simplify right side
    328,664x = 476,839,967,296
  5. Step 5: Solve for x
    x = 476,839,967,296/328,664
  6. Step 6: Final answer
    x = 1,450,843.32

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.