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Finding the Third Proportional to 66,280.50 and 136,449

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Solution

The third proportional to 66,280.50 and 136,449 is: 280,902.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,280.50 : 136,449 = 136,449 : x
  2. Step 2: Convert to fraction form
    66,280.50/136,449 = 136,449/x
  3. Step 3: Cross multiply
    66,280.50x = 136,449 × 136,449
  4. Step 4: Simplify right side
    66,280.50x = 18,618,329,601
  5. Step 5: Solve for x
    x = 18,618,329,601/66,280.50
  6. Step 6: Final answer
    x = 280,902.07

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.