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Finding the Third Proportional to 133,046 and 211,805

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Solution

The third proportional to 133,046 and 211,805 is: 337,186.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,046 : 211,805 = 211,805 : x
  2. Step 2: Convert to fraction form
    133,046/211,805 = 211,805/x
  3. Step 3: Cross multiply
    133,046x = 211,805 × 211,805
  4. Step 4: Simplify right side
    133,046x = 44,861,358,025
  5. Step 5: Solve for x
    x = 44,861,358,025/133,046
  6. Step 6: Final answer
    x = 337,186.82

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.