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Finding the Third Proportional to 66,009 and 155,670

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Solution

The third proportional to 66,009 and 155,670 is: 367,118.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,009 : 155,670 = 155,670 : x
  2. Step 2: Convert to fraction form
    66,009/155,670 = 155,670/x
  3. Step 3: Cross multiply
    66,009x = 155,670 × 155,670
  4. Step 4: Simplify right side
    66,009x = 24,233,148,900
  5. Step 5: Solve for x
    x = 24,233,148,900/66,009
  6. Step 6: Final answer
    x = 367,118.86

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.