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Finding the Third Proportional to 120,391 and 186,673

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Solution

The third proportional to 120,391 and 186,673 is: 289,446.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,391 : 186,673 = 186,673 : x
  2. Step 2: Convert to fraction form
    120,391/186,673 = 186,673/x
  3. Step 3: Cross multiply
    120,391x = 186,673 × 186,673
  4. Step 4: Simplify right side
    120,391x = 34,846,808,929
  5. Step 5: Solve for x
    x = 34,846,808,929/120,391
  6. Step 6: Final answer
    x = 289,446.96

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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.