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Finding the Third Proportional to 129,285 and 274,221

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Solution

The third proportional to 129,285 and 274,221 is: 581,638.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,285 : 274,221 = 274,221 : x
  2. Step 2: Convert to fraction form
    129,285/274,221 = 274,221/x
  3. Step 3: Cross multiply
    129,285x = 274,221 × 274,221
  4. Step 4: Simplify right side
    129,285x = 75,197,156,841
  5. Step 5: Solve for x
    x = 75,197,156,841/129,285
  6. Step 6: Final answer
    x = 581,638.68

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.