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Finding the Third Proportional to 129,427.50 and 265,125

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Solution

The third proportional to 129,427.50 and 265,125 is: 543,093.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,427.50 : 265,125 = 265,125 : x
  2. Step 2: Convert to fraction form
    129,427.50/265,125 = 265,125/x
  3. Step 3: Cross multiply
    129,427.50x = 265,125 × 265,125
  4. Step 4: Simplify right side
    129,427.50x = 70,291,265,625
  5. Step 5: Solve for x
    x = 70,291,265,625/129,427.50
  6. Step 6: Final answer
    x = 543,093.74

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.