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Finding the Third Proportional to 128,956 and 280,065.75

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Solution

The third proportional to 128,956 and 280,065.75 is: 608,244.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,956 : 280,065.75 = 280,065.75 : x
  2. Step 2: Convert to fraction form
    128,956/280,065.75 = 280,065.75/x
  3. Step 3: Cross multiply
    128,956x = 280,065.75 × 280,065.75
  4. Step 4: Simplify right side
    128,956x = 78,436,824,323.06
  5. Step 5: Solve for x
    x = 78,436,824,323.06/128,956
  6. Step 6: Final answer
    x = 608,244.86

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.