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Finding the Third Proportional to 328,952 and 683,761

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Solution

The third proportional to 328,952 and 683,761 is: 1,421,268.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,952 : 683,761 = 683,761 : x
  2. Step 2: Convert to fraction form
    328,952/683,761 = 683,761/x
  3. Step 3: Cross multiply
    328,952x = 683,761 × 683,761
  4. Step 4: Simplify right side
    328,952x = 467,529,105,121
  5. Step 5: Solve for x
    x = 467,529,105,121/328,952
  6. Step 6: Final answer
    x = 1,421,268.47

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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.