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Finding the Third Proportional to 318,145.50 and 691,512.75

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Solution

The third proportional to 318,145.50 and 691,512.75 is: 1,503,054.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,145.50 : 691,512.75 = 691,512.75 : x
  2. Step 2: Convert to fraction form
    318,145.50/691,512.75 = 691,512.75/x
  3. Step 3: Cross multiply
    318,145.50x = 691,512.75 × 691,512.75
  4. Step 4: Simplify right side
    318,145.50x = 478,189,883,412.56
  5. Step 5: Solve for x
    x = 478,189,883,412.56/318,145.50
  6. Step 6: Final answer
    x = 1,503,054.05

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.