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Finding the Third Proportional to 129,081.75 and 281,128.88

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Solution

The third proportional to 129,081.75 and 281,128.88 is: 612,274.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,081.75 : 281,128.88 = 281,128.88 : x
  2. Step 2: Convert to fraction form
    129,081.75/281,128.88 = 281,128.88/x
  3. Step 3: Cross multiply
    129,081.75x = 281,128.88 × 281,128.88
  4. Step 4: Simplify right side
    129,081.75x = 79,033,444,358.77
  5. Step 5: Solve for x
    x = 79,033,444,358.77/129,081.75
  6. Step 6: Final answer
    x = 612,274.35

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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.