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Finding the Third Proportional to 577,392 and 831,708

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Solution

The third proportional to 577,392 and 831,708 is: 1,198,039.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,392 : 831,708 = 831,708 : x
  2. Step 2: Convert to fraction form
    577,392/831,708 = 831,708/x
  3. Step 3: Cross multiply
    577,392x = 831,708 × 831,708
  4. Step 4: Simplify right side
    577,392x = 691,738,197,264
  5. Step 5: Solve for x
    x = 691,738,197,264/577,392
  6. Step 6: Final answer
    x = 1,198,039.11

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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.