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Finding the Third Proportional to 120,502 and 186,812

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Solution

The third proportional to 120,502 and 186,812 is: 289,611.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,502 : 186,812 = 186,812 : x
  2. Step 2: Convert to fraction form
    120,502/186,812 = 186,812/x
  3. Step 3: Cross multiply
    120,502x = 186,812 × 186,812
  4. Step 4: Simplify right side
    120,502x = 34,898,723,344
  5. Step 5: Solve for x
    x = 34,898,723,344/120,502
  6. Step 6: Final answer
    x = 289,611.15

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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.