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Finding the Third Proportional to 392,314.75 and 831,708.25

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Solution

The third proportional to 392,314.75 and 831,708.25 is: 1,763,223.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,314.75 : 831,708.25 = 831,708.25 : x
  2. Step 2: Convert to fraction form
    392,314.75/831,708.25 = 831,708.25/x
  3. Step 3: Cross multiply
    392,314.75x = 831,708.25 × 831,708.25
  4. Step 4: Simplify right side
    392,314.75x = 691,738,613,118.06
  5. Step 5: Solve for x
    x = 691,738,613,118.06/392,314.75
  6. Step 6: Final answer
    x = 1,763,223.57

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.