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Finding the Third Proportional to 126,628 and 270,205

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Solution

The third proportional to 126,628 and 270,205 is: 576,576.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,628 : 270,205 = 270,205 : x
  2. Step 2: Convert to fraction form
    126,628/270,205 = 270,205/x
  3. Step 3: Cross multiply
    126,628x = 270,205 × 270,205
  4. Step 4: Simplify right side
    126,628x = 73,010,742,025
  5. Step 5: Solve for x
    x = 73,010,742,025/126,628
  6. Step 6: Final answer
    x = 576,576.60

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.