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Finding the Third Proportional to 128,977.31 and 277,728.75

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Solution

The third proportional to 128,977.31 and 277,728.75 is: 598,037.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,977.31 : 277,728.75 = 277,728.75 : x
  2. Step 2: Convert to fraction form
    128,977.31/277,728.75 = 277,728.75/x
  3. Step 3: Cross multiply
    128,977.31x = 277,728.75 × 277,728.75
  4. Step 4: Simplify right side
    128,977.31x = 77,133,258,576.56
  5. Step 5: Solve for x
    x = 77,133,258,576.56/128,977.31
  6. Step 6: Final answer
    x = 598,037.42

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.