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Finding the Third Proportional to 117,270 and 181,819

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Solution

The third proportional to 117,270 and 181,819 is: 281,897.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,270 : 181,819 = 181,819 : x
  2. Step 2: Convert to fraction form
    117,270/181,819 = 181,819/x
  3. Step 3: Cross multiply
    117,270x = 181,819 × 181,819
  4. Step 4: Simplify right side
    117,270x = 33,058,148,761
  5. Step 5: Solve for x
    x = 33,058,148,761/117,270
  6. Step 6: Final answer
    x = 281,897.75

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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.