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Finding the Third Proportional to 133,048 and 272,311

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Solution

The third proportional to 133,048 and 272,311 is: 557,342.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,048 : 272,311 = 272,311 : x
  2. Step 2: Convert to fraction form
    133,048/272,311 = 272,311/x
  3. Step 3: Cross multiply
    133,048x = 272,311 × 272,311
  4. Step 4: Simplify right side
    133,048x = 74,153,280,721
  5. Step 5: Solve for x
    x = 74,153,280,721/133,048
  6. Step 6: Final answer
    x = 557,342.32

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.