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Finding the Third Proportional to 603,429 and 831,228.75

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Solution

The third proportional to 603,429 and 831,228.75 is: 1,145,024.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    603,429 : 831,228.75 = 831,228.75 : x
  2. Step 2: Convert to fraction form
    603,429/831,228.75 = 831,228.75/x
  3. Step 3: Cross multiply
    603,429x = 831,228.75 × 831,228.75
  4. Step 4: Simplify right side
    603,429x = 690,941,234,826.56
  5. Step 5: Solve for x
    x = 690,941,234,826.56/603,429
  6. Step 6: Final answer
    x = 1,145,024.91

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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.