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Finding the Third Proportional to 579,713 and 762,320

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Solution

The third proportional to 579,713 and 762,320 is: 1,002,447.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    579,713 : 762,320 = 762,320 : x
  2. Step 2: Convert to fraction form
    579,713/762,320 = 762,320/x
  3. Step 3: Cross multiply
    579,713x = 762,320 × 762,320
  4. Step 4: Simplify right side
    579,713x = 581,131,782,400
  5. Step 5: Solve for x
    x = 581,131,782,400/579,713
  6. Step 6: Final answer
    x = 1,002,447.39

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.