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Finding the Third Proportional to 328,614 and 690,396

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Solution

The third proportional to 328,614 and 690,396 is: 1,450,475.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,614 : 690,396 = 690,396 : x
  2. Step 2: Convert to fraction form
    328,614/690,396 = 690,396/x
  3. Step 3: Cross multiply
    328,614x = 690,396 × 690,396
  4. Step 4: Simplify right side
    328,614x = 476,646,636,816
  5. Step 5: Solve for x
    x = 476,646,636,816/328,614
  6. Step 6: Final answer
    x = 1,450,475.75

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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.