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Finding the Third Proportional to 129,453 and 267,894

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Solution

The third proportional to 129,453 and 267,894 is: 554,388.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,453 : 267,894 = 267,894 : x
  2. Step 2: Convert to fraction form
    129,453/267,894 = 267,894/x
  3. Step 3: Cross multiply
    129,453x = 267,894 × 267,894
  4. Step 4: Simplify right side
    129,453x = 71,767,195,236
  5. Step 5: Solve for x
    x = 71,767,195,236/129,453
  6. Step 6: Final answer
    x = 554,388.04

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.