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Finding the Third Proportional to 133,809.50 and 197,018

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Solution

The third proportional to 133,809.50 and 197,018 is: 290,084.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,809.50 : 197,018 = 197,018 : x
  2. Step 2: Convert to fraction form
    133,809.50/197,018 = 197,018/x
  3. Step 3: Cross multiply
    133,809.50x = 197,018 × 197,018
  4. Step 4: Simplify right side
    133,809.50x = 38,816,092,324
  5. Step 5: Solve for x
    x = 38,816,092,324/133,809.50
  6. Step 6: Final answer
    x = 290,084.73

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