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Finding the Third Proportional to 128,214 and 279,005

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Solution

The third proportional to 128,214 and 279,005 is: 607,139.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,214 : 279,005 = 279,005 : x
  2. Step 2: Convert to fraction form
    128,214/279,005 = 279,005/x
  3. Step 3: Cross multiply
    128,214x = 279,005 × 279,005
  4. Step 4: Simplify right side
    128,214x = 77,843,790,025
  5. Step 5: Solve for x
    x = 77,843,790,025/128,214
  6. Step 6: Final answer
    x = 607,139.55

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.