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Finding the Third Proportional to 681,282.56 and 990,211.50

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Solution

The third proportional to 681,282.56 and 990,211.50 is: 1,439,224.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    681,282.56 : 990,211.50 = 990,211.50 : x
  2. Step 2: Convert to fraction form
    681,282.56/990,211.50 = 990,211.50/x
  3. Step 3: Cross multiply
    681,282.56x = 990,211.50 × 990,211.50
  4. Step 4: Simplify right side
    681,282.56x = 980,518,814,732.25
  5. Step 5: Solve for x
    x = 980,518,814,732.25/681,282.56
  6. Step 6: Final answer
    x = 1,439,224.88

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.