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Finding the Third Proportional to 120,622 and 187,450

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Solution

The third proportional to 120,622 and 187,450 is: 291,302.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,622 : 187,450 = 187,450 : x
  2. Step 2: Convert to fraction form
    120,622/187,450 = 187,450/x
  3. Step 3: Cross multiply
    120,622x = 187,450 × 187,450
  4. Step 4: Simplify right side
    120,622x = 35,137,502,500
  5. Step 5: Solve for x
    x = 35,137,502,500/120,622
  6. Step 6: Final answer
    x = 291,302.60

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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.