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Finding the Third Proportional to 201,978 and 307,164

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Solution

The third proportional to 201,978 and 307,164 is: 467,128.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,978 : 307,164 = 307,164 : x
  2. Step 2: Convert to fraction form
    201,978/307,164 = 307,164/x
  3. Step 3: Cross multiply
    201,978x = 307,164 × 307,164
  4. Step 4: Simplify right side
    201,978x = 94,349,722,896
  5. Step 5: Solve for x
    x = 94,349,722,896/201,978
  6. Step 6: Final answer
    x = 467,128.71

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.