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Finding the Third Proportional to 128,800 and 271,584

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Solution

The third proportional to 128,800 and 271,584 is: 572,654.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,800 : 271,584 = 271,584 : x
  2. Step 2: Convert to fraction form
    128,800/271,584 = 271,584/x
  3. Step 3: Cross multiply
    128,800x = 271,584 × 271,584
  4. Step 4: Simplify right side
    128,800x = 73,757,869,056
  5. Step 5: Solve for x
    x = 73,757,869,056/128,800
  6. Step 6: Final answer
    x = 572,654.26

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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.