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Finding the Third Proportional to 406,409.50 and 603,731

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Solution

The third proportional to 406,409.50 and 603,731 is: 896,856.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,409.50 : 603,731 = 603,731 : x
  2. Step 2: Convert to fraction form
    406,409.50/603,731 = 603,731/x
  3. Step 3: Cross multiply
    406,409.50x = 603,731 × 603,731
  4. Step 4: Simplify right side
    406,409.50x = 364,491,120,361
  5. Step 5: Solve for x
    x = 364,491,120,361/406,409.50
  6. Step 6: Final answer
    x = 896,856.79

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.