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Finding the Third Proportional to 318,937 and 513,885

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Solution

The third proportional to 318,937 and 513,885 is: 827,993.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,937 : 513,885 = 513,885 : x
  2. Step 2: Convert to fraction form
    318,937/513,885 = 513,885/x
  3. Step 3: Cross multiply
    318,937x = 513,885 × 513,885
  4. Step 4: Simplify right side
    318,937x = 264,077,793,225
  5. Step 5: Solve for x
    x = 264,077,793,225/318,937
  6. Step 6: Final answer
    x = 827,993.60

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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.