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Finding the Third Proportional to 132,828 and 286,645

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Solution

The third proportional to 132,828 and 286,645 is: 618,584.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,828 : 286,645 = 286,645 : x
  2. Step 2: Convert to fraction form
    132,828/286,645 = 286,645/x
  3. Step 3: Cross multiply
    132,828x = 286,645 × 286,645
  4. Step 4: Simplify right side
    132,828x = 82,165,356,025
  5. Step 5: Solve for x
    x = 82,165,356,025/132,828
  6. Step 6: Final answer
    x = 618,584.61

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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.