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Finding the Third Proportional to 117,265 and 181,689

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Solution

The third proportional to 117,265 and 181,689 is: 281,506.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,265 : 181,689 = 181,689 : x
  2. Step 2: Convert to fraction form
    117,265/181,689 = 181,689/x
  3. Step 3: Cross multiply
    117,265x = 181,689 × 181,689
  4. Step 4: Simplify right side
    117,265x = 33,010,892,721
  5. Step 5: Solve for x
    x = 33,010,892,721/117,265
  6. Step 6: Final answer
    x = 281,506.78

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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.