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Finding the Third Proportional to 513,832 and 790,404

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Solution

The third proportional to 513,832 and 790,404 is: 1,215,841.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,832 : 790,404 = 790,404 : x
  2. Step 2: Convert to fraction form
    513,832/790,404 = 790,404/x
  3. Step 3: Cross multiply
    513,832x = 790,404 × 790,404
  4. Step 4: Simplify right side
    513,832x = 624,738,483,216
  5. Step 5: Solve for x
    x = 624,738,483,216/513,832
  6. Step 6: Final answer
    x = 1,215,841.92

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.