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Finding the Third Proportional to 128,141.75 and 280,964.75

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Solution

The third proportional to 128,141.75 and 280,964.75 is: 616,045.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,141.75 : 280,964.75 = 280,964.75 : x
  2. Step 2: Convert to fraction form
    128,141.75/280,964.75 = 280,964.75/x
  3. Step 3: Cross multiply
    128,141.75x = 280,964.75 × 280,964.75
  4. Step 4: Simplify right side
    128,141.75x = 78,941,190,742.56
  5. Step 5: Solve for x
    x = 78,941,190,742.56/128,141.75
  6. Step 6: Final answer
    x = 616,045.83

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.