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Finding the Third Proportional to 328,612 and 690,392

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Solution

The third proportional to 328,612 and 690,392 is: 1,450,467.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,612 : 690,392 = 690,392 : x
  2. Step 2: Convert to fraction form
    328,612/690,392 = 690,392/x
  3. Step 3: Cross multiply
    328,612x = 690,392 × 690,392
  4. Step 4: Simplify right side
    328,612x = 476,641,113,664
  5. Step 5: Solve for x
    x = 476,641,113,664/328,612
  6. Step 6: Final answer
    x = 1,450,467.77

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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.