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Finding the Third Proportional to 132,100 and 285,256

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Solution

The third proportional to 132,100 and 285,256 is: 615,980.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,100 : 285,256 = 285,256 : x
  2. Step 2: Convert to fraction form
    132,100/285,256 = 285,256/x
  3. Step 3: Cross multiply
    132,100x = 285,256 × 285,256
  4. Step 4: Simplify right side
    132,100x = 81,370,985,536
  5. Step 5: Solve for x
    x = 81,370,985,536/132,100
  6. Step 6: Final answer
    x = 615,980.21

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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.