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Finding the Third Proportional to 129,744 and 283,536

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Solution

The third proportional to 129,744 and 283,536 is: 619,625.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,744 : 283,536 = 283,536 : x
  2. Step 2: Convert to fraction form
    129,744/283,536 = 283,536/x
  3. Step 3: Cross multiply
    129,744x = 283,536 × 283,536
  4. Step 4: Simplify right side
    129,744x = 80,392,663,296
  5. Step 5: Solve for x
    x = 80,392,663,296/129,744
  6. Step 6: Final answer
    x = 619,625.29

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.