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Finding the Third Proportional to 120,272 and 186,954

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Solution

The third proportional to 120,272 and 186,954 is: 290,606.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,272 : 186,954 = 186,954 : x
  2. Step 2: Convert to fraction form
    120,272/186,954 = 186,954/x
  3. Step 3: Cross multiply
    120,272x = 186,954 × 186,954
  4. Step 4: Simplify right side
    120,272x = 34,951,798,116
  5. Step 5: Solve for x
    x = 34,951,798,116/120,272
  6. Step 6: Final answer
    x = 290,606.28

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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.