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Finding the Third Proportional to 133,042 and 272,299

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Solution

The third proportional to 133,042 and 272,299 is: 557,318.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,042 : 272,299 = 272,299 : x
  2. Step 2: Convert to fraction form
    133,042/272,299 = 272,299/x
  3. Step 3: Cross multiply
    133,042x = 272,299 × 272,299
  4. Step 4: Simplify right side
    133,042x = 74,146,745,401
  5. Step 5: Solve for x
    x = 74,146,745,401/133,042
  6. Step 6: Final answer
    x = 557,318.33

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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.