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Finding the Third Proportional to 430,832 and 603,731

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Solution

The third proportional to 430,832 and 603,731 is: 846,016.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,832 : 603,731 = 603,731 : x
  2. Step 2: Convert to fraction form
    430,832/603,731 = 603,731/x
  3. Step 3: Cross multiply
    430,832x = 603,731 × 603,731
  4. Step 4: Simplify right side
    430,832x = 364,491,120,361
  5. Step 5: Solve for x
    x = 364,491,120,361/430,832
  6. Step 6: Final answer
    x = 846,016.82

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.