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Finding the Third Proportional to 603,558 and 905,409

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Solution

The third proportional to 603,558 and 905,409 is: 1,358,221.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    603,558 : 905,409 = 905,409 : x
  2. Step 2: Convert to fraction form
    603,558/905,409 = 905,409/x
  3. Step 3: Cross multiply
    603,558x = 905,409 × 905,409
  4. Step 4: Simplify right side
    603,558x = 819,765,457,281
  5. Step 5: Solve for x
    x = 819,765,457,281/603,558
  6. Step 6: Final answer
    x = 1,358,221.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.