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Finding the Third Proportional to 328,862 and 683,644

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Solution

The third proportional to 328,862 and 683,644 is: 1,421,170.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,862 : 683,644 = 683,644 : x
  2. Step 2: Convert to fraction form
    328,862/683,644 = 683,644/x
  3. Step 3: Cross multiply
    328,862x = 683,644 × 683,644
  4. Step 4: Simplify right side
    328,862x = 467,369,118,736
  5. Step 5: Solve for x
    x = 467,369,118,736/328,862
  6. Step 6: Final answer
    x = 1,421,170.94

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.