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Finding the Third Proportional to 231,018 and 345,567

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Solution

The third proportional to 231,018 and 345,567 is: 516,914.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,018 : 345,567 = 345,567 : x
  2. Step 2: Convert to fraction form
    231,018/345,567 = 345,567/x
  3. Step 3: Cross multiply
    231,018x = 345,567 × 345,567
  4. Step 4: Simplify right side
    231,018x = 119,416,551,489
  5. Step 5: Solve for x
    x = 119,416,551,489/231,018
  6. Step 6: Final answer
    x = 516,914.49

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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.