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Finding the Third Proportional to 380,584.50 and 818,577.75

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Solution

The third proportional to 380,584.50 and 818,577.75 is: 1,760,632.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,584.50 : 818,577.75 = 818,577.75 : x
  2. Step 2: Convert to fraction form
    380,584.50/818,577.75 = 818,577.75/x
  3. Step 3: Cross multiply
    380,584.50x = 818,577.75 × 818,577.75
  4. Step 4: Simplify right side
    380,584.50x = 670,069,532,795.06
  5. Step 5: Solve for x
    x = 670,069,532,795.06/380,584.50
  6. Step 6: Final answer
    x = 1,760,632.74

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.