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Finding the Third Proportional to 117,245 and 181,817

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Solution

The third proportional to 117,245 and 181,817 is: 281,951.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,245 : 181,817 = 181,817 : x
  2. Step 2: Convert to fraction form
    117,245/181,817 = 181,817/x
  3. Step 3: Cross multiply
    117,245x = 181,817 × 181,817
  4. Step 4: Simplify right side
    117,245x = 33,057,421,489
  5. Step 5: Solve for x
    x = 33,057,421,489/117,245
  6. Step 6: Final answer
    x = 281,951.65

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.