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Finding the Third Proportional to 392,319 and 831,719

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Solution

The third proportional to 392,319 and 831,719 is: 1,763,250.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,319 : 831,719 = 831,719 : x
  2. Step 2: Convert to fraction form
    392,319/831,719 = 831,719/x
  3. Step 3: Cross multiply
    392,319x = 831,719 × 831,719
  4. Step 4: Simplify right side
    392,319x = 691,756,494,961
  5. Step 5: Solve for x
    x = 691,756,494,961/392,319
  6. Step 6: Final answer
    x = 1,763,250.05

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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.