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Finding the Third Proportional to 328,658 and 690,522

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Solution

The third proportional to 328,658 and 690,522 is: 1,450,810.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,658 : 690,522 = 690,522 : x
  2. Step 2: Convert to fraction form
    328,658/690,522 = 690,522/x
  3. Step 3: Cross multiply
    328,658x = 690,522 × 690,522
  4. Step 4: Simplify right side
    328,658x = 476,820,632,484
  5. Step 5: Solve for x
    x = 476,820,632,484/328,658
  6. Step 6: Final answer
    x = 1,450,810.97

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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.