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Finding the Third Proportional to 318,936 and 513,884.25

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Solution

The third proportional to 318,936 and 513,884.25 is: 827,993.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,936 : 513,884.25 = 513,884.25 : x
  2. Step 2: Convert to fraction form
    318,936/513,884.25 = 513,884.25/x
  3. Step 3: Cross multiply
    318,936x = 513,884.25 × 513,884.25
  4. Step 4: Simplify right side
    318,936x = 264,077,022,398.06
  5. Step 5: Solve for x
    x = 264,077,022,398.06/318,936
  6. Step 6: Final answer
    x = 827,993.77

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.