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Finding the Third Proportional to 201,218 and 437,380

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Solution

The third proportional to 201,218 and 437,380 is: 950,716.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,218 : 437,380 = 437,380 : x
  2. Step 2: Convert to fraction form
    201,218/437,380 = 437,380/x
  3. Step 3: Cross multiply
    201,218x = 437,380 × 437,380
  4. Step 4: Simplify right side
    201,218x = 191,301,264,400
  5. Step 5: Solve for x
    x = 191,301,264,400/201,218
  6. Step 6: Final answer
    x = 950,716.46

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.