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Finding the Third Proportional to 129,396 and 281,573

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Solution

The third proportional to 129,396 and 281,573 is: 612,718.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,396 : 281,573 = 281,573 : x
  2. Step 2: Convert to fraction form
    129,396/281,573 = 281,573/x
  3. Step 3: Cross multiply
    129,396x = 281,573 × 281,573
  4. Step 4: Simplify right side
    129,396x = 79,283,354,329
  5. Step 5: Solve for x
    x = 79,283,354,329/129,396
  6. Step 6: Final answer
    x = 612,718.74

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.