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Finding the Third Proportional to 129,918 and 279,176

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Solution

The third proportional to 129,918 and 279,176 is: 599,911.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,918 : 279,176 = 279,176 : x
  2. Step 2: Convert to fraction form
    129,918/279,176 = 279,176/x
  3. Step 3: Cross multiply
    129,918x = 279,176 × 279,176
  4. Step 4: Simplify right side
    129,918x = 77,939,238,976
  5. Step 5: Solve for x
    x = 77,939,238,976/129,918
  6. Step 6: Final answer
    x = 599,911.01

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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.