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Finding the Third Proportional to 415,452 and 678,330

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Solution

The third proportional to 415,452 and 678,330 is: 1,107,544.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,452 : 678,330 = 678,330 : x
  2. Step 2: Convert to fraction form
    415,452/678,330 = 678,330/x
  3. Step 3: Cross multiply
    415,452x = 678,330 × 678,330
  4. Step 4: Simplify right side
    415,452x = 460,131,588,900
  5. Step 5: Solve for x
    x = 460,131,588,900/415,452
  6. Step 6: Final answer
    x = 1,107,544.53

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.