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Finding the Third Proportional to 577,380 and 831,690

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Solution

The third proportional to 577,380 and 831,690 is: 1,198,012.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,380 : 831,690 = 831,690 : x
  2. Step 2: Convert to fraction form
    577,380/831,690 = 831,690/x
  3. Step 3: Cross multiply
    577,380x = 831,690 × 831,690
  4. Step 4: Simplify right side
    577,380x = 691,708,256,100
  5. Step 5: Solve for x
    x = 691,708,256,100/577,380
  6. Step 6: Final answer
    x = 1,198,012.15

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.