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Finding the Third Proportional to 81,769 and 119,961

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Solution

The third proportional to 81,769 and 119,961 is: 175,991.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,769 : 119,961 = 119,961 : x
  2. Step 2: Convert to fraction form
    81,769/119,961 = 119,961/x
  3. Step 3: Cross multiply
    81,769x = 119,961 × 119,961
  4. Step 4: Simplify right side
    81,769x = 14,390,641,521
  5. Step 5: Solve for x
    x = 14,390,641,521/81,769
  6. Step 6: Final answer
    x = 175,991.41

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.