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Finding the Third Proportional to 129,115.50 and 279,671.25

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Solution

The third proportional to 129,115.50 and 279,671.25 is: 605,783.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,115.50 : 279,671.25 = 279,671.25 : x
  2. Step 2: Convert to fraction form
    129,115.50/279,671.25 = 279,671.25/x
  3. Step 3: Cross multiply
    129,115.50x = 279,671.25 × 279,671.25
  4. Step 4: Simplify right side
    129,115.50x = 78,216,008,076.56
  5. Step 5: Solve for x
    x = 78,216,008,076.56/129,115.50
  6. Step 6: Final answer
    x = 605,783.26

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.