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Finding the Third Proportional to 387,622 and 831,280

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Solution

The third proportional to 387,622 and 831,280 is: 1,782,732.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,622 : 831,280 = 831,280 : x
  2. Step 2: Convert to fraction form
    387,622/831,280 = 831,280/x
  3. Step 3: Cross multiply
    387,622x = 831,280 × 831,280
  4. Step 4: Simplify right side
    387,622x = 691,026,438,400
  5. Step 5: Solve for x
    x = 691,026,438,400/387,622
  6. Step 6: Final answer
    x = 1,782,732.76

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.