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Finding the Third Proportional to 378,327,009 and 831,186,960

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Solution

The third proportional to 378,327,009 and 831,186,960 is: 1,826,123,290.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,327,009 : 831,186,960 = 831,186,960 : x
  2. Step 2: Convert to fraction form
    378,327,009/831,186,960 = 831,186,960/x
  3. Step 3: Cross multiply
    378,327,009x = 831,186,960 × 831,186,960
  4. Step 4: Simplify right side
    378,327,009x = 690,871,762,474,041,600
  5. Step 5: Solve for x
    x = 690,871,762,474,041,600/378,327,009
  6. Step 6: Final answer
    x = 1,826,123,290.27

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.