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Finding the Third Proportional to 128,764.69 and 277,852.78

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Solution

The third proportional to 128,764.69 and 277,852.78 is: 599,560.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,764.69 : 277,852.78 = 277,852.78 : x
  2. Step 2: Convert to fraction form
    128,764.69/277,852.78 = 277,852.78/x
  3. Step 3: Cross multiply
    128,764.69x = 277,852.78 × 277,852.78
  4. Step 4: Simplify right side
    128,764.69x = 77,202,168,048.36
  5. Step 5: Solve for x
    x = 77,202,168,048.36/128,764.69
  6. Step 6: Final answer
    x = 599,560.09

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.