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Finding the Third Proportional to 318,936 and 513,888

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Solution

The third proportional to 318,936 and 513,888 is: 828,005.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,936 : 513,888 = 513,888 : x
  2. Step 2: Convert to fraction form
    318,936/513,888 = 513,888/x
  3. Step 3: Cross multiply
    318,936x = 513,888 × 513,888
  4. Step 4: Simplify right side
    318,936x = 264,080,876,544
  5. Step 5: Solve for x
    x = 264,080,876,544/318,936
  6. Step 6: Final answer
    x = 828,005.86

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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.