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Finding the Third Proportional to 128,642 and 274,276

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Solution

The third proportional to 128,642 and 274,276 is: 584,780.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,642 : 274,276 = 274,276 : x
  2. Step 2: Convert to fraction form
    128,642/274,276 = 274,276/x
  3. Step 3: Cross multiply
    128,642x = 274,276 × 274,276
  4. Step 4: Simplify right side
    128,642x = 75,227,324,176
  5. Step 5: Solve for x
    x = 75,227,324,176/128,642
  6. Step 6: Final answer
    x = 584,780.43

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.