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Finding the Third Proportional to 111,769 and 169,097

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Solution

The third proportional to 111,769 and 169,097 is: 255,829.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,769 : 169,097 = 169,097 : x
  2. Step 2: Convert to fraction form
    111,769/169,097 = 169,097/x
  3. Step 3: Cross multiply
    111,769x = 169,097 × 169,097
  4. Step 4: Simplify right side
    111,769x = 28,593,795,409
  5. Step 5: Solve for x
    x = 28,593,795,409/111,769
  6. Step 6: Final answer
    x = 255,829.39

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.