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Finding the Third Proportional to 85,412 and 133,601

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Solution

The third proportional to 85,412 and 133,601 is: 208,977.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,412 : 133,601 = 133,601 : x
  2. Step 2: Convert to fraction form
    85,412/133,601 = 133,601/x
  3. Step 3: Cross multiply
    85,412x = 133,601 × 133,601
  4. Step 4: Simplify right side
    85,412x = 17,849,227,201
  5. Step 5: Solve for x
    x = 17,849,227,201/85,412
  6. Step 6: Final answer
    x = 208,977.98

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.