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Finding the Third Proportional to 217,074 and 339,501

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Solution

The third proportional to 217,074 and 339,501 is: 530,975.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,074 : 339,501 = 339,501 : x
  2. Step 2: Convert to fraction form
    217,074/339,501 = 339,501/x
  3. Step 3: Cross multiply
    217,074x = 339,501 × 339,501
  4. Step 4: Simplify right side
    217,074x = 115,260,929,001
  5. Step 5: Solve for x
    x = 115,260,929,001/217,074
  6. Step 6: Final answer
    x = 530,975.28

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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.