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Finding the Third Proportional to 155,159 and 208,097

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Solution

The third proportional to 155,159 and 208,097 is: 279,096.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,159 : 208,097 = 208,097 : x
  2. Step 2: Convert to fraction form
    155,159/208,097 = 208,097/x
  3. Step 3: Cross multiply
    155,159x = 208,097 × 208,097
  4. Step 4: Simplify right side
    155,159x = 43,304,361,409
  5. Step 5: Solve for x
    x = 43,304,361,409/155,159
  6. Step 6: Final answer
    x = 279,096.68

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.