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Finding the Third Proportional to 217,242 and 339,577.31

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Solution

The third proportional to 217,242 and 339,577.31 is: 530,803.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,242 : 339,577.31 = 339,577.31 : x
  2. Step 2: Convert to fraction form
    217,242/339,577.31 = 339,577.31/x
  3. Step 3: Cross multiply
    217,242x = 339,577.31 × 339,577.31
  4. Step 4: Simplify right side
    217,242x = 115,312,751,164.72
  5. Step 5: Solve for x
    x = 115,312,751,164.72/217,242
  6. Step 6: Final answer
    x = 530,803.21

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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.