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Finding the Third Proportional to 328,683 and 690,567

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Solution

The third proportional to 328,683 and 690,567 is: 1,450,889.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,683 : 690,567 = 690,567 : x
  2. Step 2: Convert to fraction form
    328,683/690,567 = 690,567/x
  3. Step 3: Cross multiply
    328,683x = 690,567 × 690,567
  4. Step 4: Simplify right side
    328,683x = 476,882,781,489
  5. Step 5: Solve for x
    x = 476,882,781,489/328,683
  6. Step 6: Final answer
    x = 1,450,889.71

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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.