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Finding the Third Proportional to 129,426 and 265,122

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Solution

The third proportional to 129,426 and 265,122 is: 543,087.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,426 : 265,122 = 265,122 : x
  2. Step 2: Convert to fraction form
    129,426/265,122 = 265,122/x
  3. Step 3: Cross multiply
    129,426x = 265,122 × 265,122
  4. Step 4: Simplify right side
    129,426x = 70,289,674,884
  5. Step 5: Solve for x
    x = 70,289,674,884/129,426
  6. Step 6: Final answer
    x = 543,087.75

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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.