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Finding the Third Proportional to 66,007 and 154,020

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Solution

The third proportional to 66,007 and 154,020 is: 359,388.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,007 : 154,020 = 154,020 : x
  2. Step 2: Convert to fraction form
    66,007/154,020 = 154,020/x
  3. Step 3: Cross multiply
    66,007x = 154,020 × 154,020
  4. Step 4: Simplify right side
    66,007x = 23,722,160,400
  5. Step 5: Solve for x
    x = 23,722,160,400/66,007
  6. Step 6: Final answer
    x = 359,388.56

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.