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Finding the Third Proportional to 59,639.18 and 128,619.38

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Solution

The third proportional to 59,639.18 and 128,619.38 is: 277,383.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,639.18 : 128,619.38 = 128,619.38 : x
  2. Step 2: Convert to fraction form
    59,639.18/128,619.38 = 128,619.38/x
  3. Step 3: Cross multiply
    59,639.18x = 128,619.38 × 128,619.38
  4. Step 4: Simplify right side
    59,639.18x = 16,542,944,379.02
  5. Step 5: Solve for x
    x = 16,542,944,379.02/59,639.18
  6. Step 6: Final answer
    x = 277,383.85

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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.