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Finding the Third Proportional to 201,178 and 303,817

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Solution

The third proportional to 201,178 and 303,817 is: 458,821.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,178 : 303,817 = 303,817 : x
  2. Step 2: Convert to fraction form
    201,178/303,817 = 303,817/x
  3. Step 3: Cross multiply
    201,178x = 303,817 × 303,817
  4. Step 4: Simplify right side
    201,178x = 92,304,769,489
  5. Step 5: Solve for x
    x = 92,304,769,489/201,178
  6. Step 6: Final answer
    x = 458,821.39

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.