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Finding the Third Proportional to 153,930 and 231,343

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Solution

The third proportional to 153,930 and 231,343 is: 347,687.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,930 : 231,343 = 231,343 : x
  2. Step 2: Convert to fraction form
    153,930/231,343 = 231,343/x
  3. Step 3: Cross multiply
    153,930x = 231,343 × 231,343
  4. Step 4: Simplify right side
    153,930x = 53,519,583,649
  5. Step 5: Solve for x
    x = 53,519,583,649/153,930
  6. Step 6: Final answer
    x = 347,687.80

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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.