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Finding the Third Proportional to 223,157 and 339,980

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Solution

The third proportional to 223,157 and 339,980 is: 517,960.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,157 : 339,980 = 339,980 : x
  2. Step 2: Convert to fraction form
    223,157/339,980 = 339,980/x
  3. Step 3: Cross multiply
    223,157x = 339,980 × 339,980
  4. Step 4: Simplify right side
    223,157x = 115,586,400,400
  5. Step 5: Solve for x
    x = 115,586,400,400/223,157
  6. Step 6: Final answer
    x = 517,960.00

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.