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Finding the Third Proportional to 129,878 and 279,178

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Solution

The third proportional to 129,878 and 279,178 is: 600,104.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,878 : 279,178 = 279,178 : x
  2. Step 2: Convert to fraction form
    129,878/279,178 = 279,178/x
  3. Step 3: Cross multiply
    129,878x = 279,178 × 279,178
  4. Step 4: Simplify right side
    129,878x = 77,940,355,684
  5. Step 5: Solve for x
    x = 77,940,355,684/129,878
  6. Step 6: Final answer
    x = 600,104.37

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.