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Finding the Third Proportional to 387,546 and 831,147

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Solution

The third proportional to 387,546 and 831,147 is: 1,782,511.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,546 : 831,147 = 831,147 : x
  2. Step 2: Convert to fraction form
    387,546/831,147 = 831,147/x
  3. Step 3: Cross multiply
    387,546x = 831,147 × 831,147
  4. Step 4: Simplify right side
    387,546x = 690,805,335,609
  5. Step 5: Solve for x
    x = 690,805,335,609/387,546
  6. Step 6: Final answer
    x = 1,782,511.85

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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.