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Finding the Third Proportional to 318,938 and 513,891

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Solution

The third proportional to 318,938 and 513,891 is: 828,010.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,938 : 513,891 = 513,891 : x
  2. Step 2: Convert to fraction form
    318,938/513,891 = 513,891/x
  3. Step 3: Cross multiply
    318,938x = 513,891 × 513,891
  4. Step 4: Simplify right side
    318,938x = 264,083,959,881
  5. Step 5: Solve for x
    x = 264,083,959,881/318,938
  6. Step 6: Final answer
    x = 828,010.33

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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.