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Finding the Third Proportional to 328,401 and 705,915

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Solution

The third proportional to 328,401 and 705,915 is: 1,517,400.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,401 : 705,915 = 705,915 : x
  2. Step 2: Convert to fraction form
    328,401/705,915 = 705,915/x
  3. Step 3: Cross multiply
    328,401x = 705,915 × 705,915
  4. Step 4: Simplify right side
    328,401x = 498,315,987,225
  5. Step 5: Solve for x
    x = 498,315,987,225/328,401
  6. Step 6: Final answer
    x = 1,517,400.94

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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.