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Finding the Third Proportional to 398,990.81 and 561,170.53

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Solution

The third proportional to 398,990.81 and 561,170.53 is: 789,272.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,990.81 : 561,170.53 = 561,170.53 : x
  2. Step 2: Convert to fraction form
    398,990.81/561,170.53 = 561,170.53/x
  3. Step 3: Cross multiply
    398,990.81x = 561,170.53 × 561,170.53
  4. Step 4: Simplify right side
    398,990.81x = 314,912,365,143.41
  5. Step 5: Solve for x
    x = 314,912,365,143.41/398,990.81
  6. Step 6: Final answer
    x = 789,272.22

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.