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Finding the Third Proportional to 303,558 and 456,315

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Solution

The third proportional to 303,558 and 456,315 is: 685,942.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,558 : 456,315 = 456,315 : x
  2. Step 2: Convert to fraction form
    303,558/456,315 = 456,315/x
  3. Step 3: Cross multiply
    303,558x = 456,315 × 456,315
  4. Step 4: Simplify right side
    303,558x = 208,223,379,225
  5. Step 5: Solve for x
    x = 208,223,379,225/303,558
  6. Step 6: Final answer
    x = 685,942.65

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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.