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Finding the Third Proportional to 129,636 and 277,704

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Solution

The third proportional to 129,636 and 277,704 is: 594,892.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,636 : 277,704 = 277,704 : x
  2. Step 2: Convert to fraction form
    129,636/277,704 = 277,704/x
  3. Step 3: Cross multiply
    129,636x = 277,704 × 277,704
  4. Step 4: Simplify right side
    129,636x = 77,119,511,616
  5. Step 5: Solve for x
    x = 77,119,511,616/129,636
  6. Step 6: Final answer
    x = 594,892.71

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.