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Finding the Third Proportional to 392,429.81 and 831,606.75

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Solution

The third proportional to 392,429.81 and 831,606.75 is: 1,762,276.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,429.81 : 831,606.75 = 831,606.75 : x
  2. Step 2: Convert to fraction form
    392,429.81/831,606.75 = 831,606.75/x
  3. Step 3: Cross multiply
    392,429.81x = 831,606.75 × 831,606.75
  4. Step 4: Simplify right side
    392,429.81x = 691,569,786,645.56
  5. Step 5: Solve for x
    x = 691,569,786,645.56/392,429.81
  6. Step 6: Final answer
    x = 1,762,276.37

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.