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Finding the Third Proportional to 328,580 and 706,234

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Solution

The third proportional to 328,580 and 706,234 is: 1,517,945.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,580 : 706,234 = 706,234 : x
  2. Step 2: Convert to fraction form
    328,580/706,234 = 706,234/x
  3. Step 3: Cross multiply
    328,580x = 706,234 × 706,234
  4. Step 4: Simplify right side
    328,580x = 498,766,462,756
  5. Step 5: Solve for x
    x = 498,766,462,756/328,580
  6. Step 6: Final answer
    x = 1,517,945.29

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.