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Finding the Third Proportional to 96,956 and 142,242

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Solution

The third proportional to 96,956 and 142,242 is: 208,680.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,956 : 142,242 = 142,242 : x
  2. Step 2: Convert to fraction form
    96,956/142,242 = 142,242/x
  3. Step 3: Cross multiply
    96,956x = 142,242 × 142,242
  4. Step 4: Simplify right side
    96,956x = 20,232,786,564
  5. Step 5: Solve for x
    x = 20,232,786,564/96,956
  6. Step 6: Final answer
    x = 208,680.09

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.