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Finding the Third Proportional to 392,314 and 831,707

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Solution

The third proportional to 392,314 and 831,707 is: 1,763,221.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,314 : 831,707 = 831,707 : x
  2. Step 2: Convert to fraction form
    392,314/831,707 = 831,707/x
  3. Step 3: Cross multiply
    392,314x = 831,707 × 831,707
  4. Step 4: Simplify right side
    392,314x = 691,736,533,849
  5. Step 5: Solve for x
    x = 691,736,533,849/392,314
  6. Step 6: Final answer
    x = 1,763,221.64

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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.