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Finding the Third Proportional to 218,978 and 475,136

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Solution

The third proportional to 218,978 and 475,136 is: 1,030,944.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,978 : 475,136 = 475,136 : x
  2. Step 2: Convert to fraction form
    218,978/475,136 = 475,136/x
  3. Step 3: Cross multiply
    218,978x = 475,136 × 475,136
  4. Step 4: Simplify right side
    218,978x = 225,754,218,496
  5. Step 5: Solve for x
    x = 225,754,218,496/218,978
  6. Step 6: Final answer
    x = 1,030,944.75

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