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Finding the Third Proportional to 153,923 and 231,335

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Solution

The third proportional to 153,923 and 231,335 is: 347,679.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,923 : 231,335 = 231,335 : x
  2. Step 2: Convert to fraction form
    153,923/231,335 = 231,335/x
  3. Step 3: Cross multiply
    153,923x = 231,335 × 231,335
  4. Step 4: Simplify right side
    153,923x = 53,515,882,225
  5. Step 5: Solve for x
    x = 53,515,882,225/153,923
  6. Step 6: Final answer
    x = 347,679.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.