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Finding the Third Proportional to 129,429 and 265,131

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Solution

The third proportional to 129,429 and 265,131 is: 543,112.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,429 : 265,131 = 265,131 : x
  2. Step 2: Convert to fraction form
    129,429/265,131 = 265,131/x
  3. Step 3: Cross multiply
    129,429x = 265,131 × 265,131
  4. Step 4: Simplify right side
    129,429x = 70,294,447,161
  5. Step 5: Solve for x
    x = 70,294,447,161/129,429
  6. Step 6: Final answer
    x = 543,112.03

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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.