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Finding the Third Proportional to 128,865 and 185,601

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Solution

The third proportional to 128,865 and 185,601 is: 267,316.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,865 : 185,601 = 185,601 : x
  2. Step 2: Convert to fraction form
    128,865/185,601 = 185,601/x
  3. Step 3: Cross multiply
    128,865x = 185,601 × 185,601
  4. Step 4: Simplify right side
    128,865x = 34,447,731,201
  5. Step 5: Solve for x
    x = 34,447,731,201/128,865
  6. Step 6: Final answer
    x = 267,316.43

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.