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Finding the Third Proportional to 129,024 and 285,696

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Solution

The third proportional to 129,024 and 285,696 is: 632,612.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,024 : 285,696 = 285,696 : x
  2. Step 2: Convert to fraction form
    129,024/285,696 = 285,696/x
  3. Step 3: Cross multiply
    129,024x = 285,696 × 285,696
  4. Step 4: Simplify right side
    129,024x = 81,622,204,416
  5. Step 5: Solve for x
    x = 81,622,204,416/129,024
  6. Step 6: Final answer
    x = 632,612.57

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.