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Finding the Third Proportional to 318,974 and 513,938

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Solution

The third proportional to 318,974 and 513,938 is: 828,068.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,974 : 513,938 = 513,938 : x
  2. Step 2: Convert to fraction form
    318,974/513,938 = 513,938/x
  3. Step 3: Cross multiply
    318,974x = 513,938 × 513,938
  4. Step 4: Simplify right side
    318,974x = 264,132,267,844
  5. Step 5: Solve for x
    x = 264,132,267,844/318,974
  6. Step 6: Final answer
    x = 828,068.33

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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.