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Finding the Third Proportional to 128,174.06 and 280,484.44

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Solution

The third proportional to 128,174.06 and 280,484.44 is: 613,786.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,174.06 : 280,484.44 = 280,484.44 : x
  2. Step 2: Convert to fraction form
    128,174.06/280,484.44 = 280,484.44/x
  3. Step 3: Cross multiply
    128,174.06x = 280,484.44 × 280,484.44
  4. Step 4: Simplify right side
    128,174.06x = 78,671,519,679.69
  5. Step 5: Solve for x
    x = 78,671,519,679.69/128,174.06
  6. Step 6: Final answer
    x = 613,786.58

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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.