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Finding the Third Proportional to 447,376.50 and 677,580.75

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Solution

The third proportional to 447,376.50 and 677,580.75 is: 1,026,240.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,376.50 : 677,580.75 = 677,580.75 : x
  2. Step 2: Convert to fraction form
    447,376.50/677,580.75 = 677,580.75/x
  3. Step 3: Cross multiply
    447,376.50x = 677,580.75 × 677,580.75
  4. Step 4: Simplify right side
    447,376.50x = 459,115,672,770.56
  5. Step 5: Solve for x
    x = 459,115,672,770.56/447,376.50
  6. Step 6: Final answer
    x = 1,026,240.03

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.