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Finding the Third Proportional to 132,772 and 286,676

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Solution

The third proportional to 132,772 and 286,676 is: 618,979.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,772 : 286,676 = 286,676 : x
  2. Step 2: Convert to fraction form
    132,772/286,676 = 286,676/x
  3. Step 3: Cross multiply
    132,772x = 286,676 × 286,676
  4. Step 4: Simplify right side
    132,772x = 82,183,128,976
  5. Step 5: Solve for x
    x = 82,183,128,976/132,772
  6. Step 6: Final answer
    x = 618,979.37

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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.