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Finding the Third Proportional to 603,405 and 831,192.75

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Solution

The third proportional to 603,405 and 831,192.75 is: 1,144,971.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    603,405 : 831,192.75 = 831,192.75 : x
  2. Step 2: Convert to fraction form
    603,405/831,192.75 = 831,192.75/x
  3. Step 3: Cross multiply
    603,405x = 831,192.75 × 831,192.75
  4. Step 4: Simplify right side
    603,405x = 690,881,387,652.56
  5. Step 5: Solve for x
    x = 690,881,387,652.56/603,405
  6. Step 6: Final answer
    x = 1,144,971.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.