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Finding the Third Proportional to 258,700.50 and 347,645.25

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Solution

The third proportional to 258,700.50 and 347,645.25 is: 467,170.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,700.50 : 347,645.25 = 347,645.25 : x
  2. Step 2: Convert to fraction form
    258,700.50/347,645.25 = 347,645.25/x
  3. Step 3: Cross multiply
    258,700.50x = 347,645.25 × 347,645.25
  4. Step 4: Simplify right side
    258,700.50x = 120,857,219,847.56
  5. Step 5: Solve for x
    x = 120,857,219,847.56/258,700.50
  6. Step 6: Final answer
    x = 467,170.41

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.