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Finding the Third Proportional to 217,073 and 339,508

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Solution

The third proportional to 217,073 and 339,508 is: 530,999.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,073 : 339,508 = 339,508 : x
  2. Step 2: Convert to fraction form
    217,073/339,508 = 339,508/x
  3. Step 3: Cross multiply
    217,073x = 339,508 × 339,508
  4. Step 4: Simplify right side
    217,073x = 115,265,682,064
  5. Step 5: Solve for x
    x = 115,265,682,064/217,073
  6. Step 6: Final answer
    x = 530,999.63

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.