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Finding the Third Proportional to 128,736 and 271,944

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Solution

The third proportional to 128,736 and 271,944 is: 574,458.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,736 : 271,944 = 271,944 : x
  2. Step 2: Convert to fraction form
    128,736/271,944 = 271,944/x
  3. Step 3: Cross multiply
    128,736x = 271,944 × 271,944
  4. Step 4: Simplify right side
    128,736x = 73,953,539,136
  5. Step 5: Solve for x
    x = 73,953,539,136/128,736
  6. Step 6: Final answer
    x = 574,458.89

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.