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Finding the Third Proportional to 128,736.84 and 280,349.86

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Solution

The third proportional to 128,736.84 and 280,349.86 is: 610,517.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,736.84 : 280,349.86 = 280,349.86 : x
  2. Step 2: Convert to fraction form
    128,736.84/280,349.86 = 280,349.86/x
  3. Step 3: Cross multiply
    128,736.84x = 280,349.86 × 280,349.86
  4. Step 4: Simplify right side
    128,736.84x = 78,596,043,651.58
  5. Step 5: Solve for x
    x = 78,596,043,651.58/128,736.84
  6. Step 6: Final answer
    x = 610,517.09

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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.