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Finding the Third Proportional to 315,056.25 and 691,350.75

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Solution

The third proportional to 315,056.25 and 691,350.75 is: 1,517,081.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,056.25 : 691,350.75 = 691,350.75 : x
  2. Step 2: Convert to fraction form
    315,056.25/691,350.75 = 691,350.75/x
  3. Step 3: Cross multiply
    315,056.25x = 691,350.75 × 691,350.75
  4. Step 4: Simplify right side
    315,056.25x = 477,965,859,525.56
  5. Step 5: Solve for x
    x = 477,965,859,525.56/315,056.25
  6. Step 6: Final answer
    x = 1,517,081.03

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.