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Finding the Third Proportional to 57,731 and 119,999

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Solution

The third proportional to 57,731 and 119,999 is: 249,428.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,731 : 119,999 = 119,999 : x
  2. Step 2: Convert to fraction form
    57,731/119,999 = 119,999/x
  3. Step 3: Cross multiply
    57,731x = 119,999 × 119,999
  4. Step 4: Simplify right side
    57,731x = 14,399,760,001
  5. Step 5: Solve for x
    x = 14,399,760,001/57,731
  6. Step 6: Final answer
    x = 249,428.56

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.