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Finding the Third Proportional to 231,118.31 and 347,222.81

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Solution

The third proportional to 231,118.31 and 347,222.81 is: 521,653.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,118.31 : 347,222.81 = 347,222.81 : x
  2. Step 2: Convert to fraction form
    231,118.31/347,222.81 = 347,222.81/x
  3. Step 3: Cross multiply
    231,118.31x = 347,222.81 × 347,222.81
  4. Step 4: Simplify right side
    231,118.31x = 120,563,681,520.41
  5. Step 5: Solve for x
    x = 120,563,681,520.41/231,118.31
  6. Step 6: Final answer
    x = 521,653.52

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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.