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Finding the Third Proportional to 117,290 and 181,731

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Solution

The third proportional to 117,290 and 181,731 is: 281,576.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,290 : 181,731 = 181,731 : x
  2. Step 2: Convert to fraction form
    117,290/181,731 = 181,731/x
  3. Step 3: Cross multiply
    117,290x = 181,731 × 181,731
  4. Step 4: Simplify right side
    117,290x = 33,026,156,361
  5. Step 5: Solve for x
    x = 33,026,156,361/117,290
  6. Step 6: Final answer
    x = 281,576.92

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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.