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Finding the Third Proportional to 315,936 and 409,860

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Solution

The third proportional to 315,936 and 409,860 is: 531,706.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,936 : 409,860 = 409,860 : x
  2. Step 2: Convert to fraction form
    315,936/409,860 = 409,860/x
  3. Step 3: Cross multiply
    315,936x = 409,860 × 409,860
  4. Step 4: Simplify right side
    315,936x = 167,985,219,600
  5. Step 5: Solve for x
    x = 167,985,219,600/315,936
  6. Step 6: Final answer
    x = 531,706.48

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.