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Finding the Third Proportional to 128,520.38 and 197,676.56

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Solution

The third proportional to 128,520.38 and 197,676.56 is: 304,045.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,520.38 : 197,676.56 = 197,676.56 : x
  2. Step 2: Convert to fraction form
    128,520.38/197,676.56 = 197,676.56/x
  3. Step 3: Cross multiply
    128,520.38x = 197,676.56 × 197,676.56
  4. Step 4: Simplify right side
    128,520.38x = 39,076,023,361.82
  5. Step 5: Solve for x
    x = 39,076,023,361.82/128,520.38
  6. Step 6: Final answer
    x = 304,045.36

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.