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Finding the Third Proportional to 201,978 and 437,385

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Solution

The third proportional to 201,978 and 437,385 is: 947,160.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,978 : 437,385 = 437,385 : x
  2. Step 2: Convert to fraction form
    201,978/437,385 = 437,385/x
  3. Step 3: Cross multiply
    201,978x = 437,385 × 437,385
  4. Step 4: Simplify right side
    201,978x = 191,305,638,225
  5. Step 5: Solve for x
    x = 191,305,638,225/201,978
  6. Step 6: Final answer
    x = 947,160.77

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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.