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Finding the Third Proportional to 128,823.75 and 178,005.94

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Solution

The third proportional to 128,823.75 and 178,005.94 is: 245,964.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,823.75 : 178,005.94 = 178,005.94 : x
  2. Step 2: Convert to fraction form
    128,823.75/178,005.94 = 178,005.94/x
  3. Step 3: Cross multiply
    128,823.75x = 178,005.94 × 178,005.94
  4. Step 4: Simplify right side
    128,823.75x = 31,686,113,785.25
  5. Step 5: Solve for x
    x = 31,686,113,785.25/128,823.75
  6. Step 6: Final answer
    x = 245,964.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.