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Finding the Third Proportional to 57,276 and 135,423

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Solution

The third proportional to 57,276 and 135,423 is: 320,193.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,276 : 135,423 = 135,423 : x
  2. Step 2: Convert to fraction form
    57,276/135,423 = 135,423/x
  3. Step 3: Cross multiply
    57,276x = 135,423 × 135,423
  4. Step 4: Simplify right side
    57,276x = 18,339,388,929
  5. Step 5: Solve for x
    x = 18,339,388,929/57,276
  6. Step 6: Final answer
    x = 320,193.26

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.