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Finding the Third Proportional to 129,438 and 265,149

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Solution

The third proportional to 129,438 and 265,149 is: 543,148.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,438 : 265,149 = 265,149 : x
  2. Step 2: Convert to fraction form
    129,438/265,149 = 265,149/x
  3. Step 3: Cross multiply
    129,438x = 265,149 × 265,149
  4. Step 4: Simplify right side
    129,438x = 70,303,992,201
  5. Step 5: Solve for x
    x = 70,303,992,201/129,438
  6. Step 6: Final answer
    x = 543,148.01

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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.