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Finding the Third Proportional to 399,369 and 603,213

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Solution

The third proportional to 399,369 and 603,213 is: 911,102.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,369 : 603,213 = 603,213 : x
  2. Step 2: Convert to fraction form
    399,369/603,213 = 603,213/x
  3. Step 3: Cross multiply
    399,369x = 603,213 × 603,213
  4. Step 4: Simplify right side
    399,369x = 363,865,923,369
  5. Step 5: Solve for x
    x = 363,865,923,369/399,369
  6. Step 6: Final answer
    x = 911,102.07

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.