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Finding the Third Proportional to 117,213 and 181,611

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Solution

The third proportional to 117,213 and 181,611 is: 281,389.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,213 : 181,611 = 181,611 : x
  2. Step 2: Convert to fraction form
    117,213/181,611 = 181,611/x
  3. Step 3: Cross multiply
    117,213x = 181,611 × 181,611
  4. Step 4: Simplify right side
    117,213x = 32,982,555,321
  5. Step 5: Solve for x
    x = 32,982,555,321/117,213
  6. Step 6: Final answer
    x = 281,389.91

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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.