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Finding the Third Proportional to 120,273 and 186,972

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Solution

The third proportional to 120,273 and 186,972 is: 290,659.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,273 : 186,972 = 186,972 : x
  2. Step 2: Convert to fraction form
    120,273/186,972 = 186,972/x
  3. Step 3: Cross multiply
    120,273x = 186,972 × 186,972
  4. Step 4: Simplify right side
    120,273x = 34,958,528,784
  5. Step 5: Solve for x
    x = 34,958,528,784/120,273
  6. Step 6: Final answer
    x = 290,659.82

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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.