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Finding the Third Proportional to 129,256 and 203,100

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Solution

The third proportional to 129,256 and 203,100 is: 319,131.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,256 : 203,100 = 203,100 : x
  2. Step 2: Convert to fraction form
    129,256/203,100 = 203,100/x
  3. Step 3: Cross multiply
    129,256x = 203,100 × 203,100
  4. Step 4: Simplify right side
    129,256x = 41,249,610,000
  5. Step 5: Solve for x
    x = 41,249,610,000/129,256
  6. Step 6: Final answer
    x = 319,131.10

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.