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Finding the Third Proportional to 203,622 and 437,380

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Solution

The third proportional to 203,622 and 437,380 is: 939,492.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,622 : 437,380 = 437,380 : x
  2. Step 2: Convert to fraction form
    203,622/437,380 = 437,380/x
  3. Step 3: Cross multiply
    203,622x = 437,380 × 437,380
  4. Step 4: Simplify right side
    203,622x = 191,301,264,400
  5. Step 5: Solve for x
    x = 191,301,264,400/203,622
  6. Step 6: Final answer
    x = 939,492.12

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.