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Finding the Third Proportional to 415,884 and 669,762

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Solution

The third proportional to 415,884 and 669,762 is: 1,078,620.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,884 : 669,762 = 669,762 : x
  2. Step 2: Convert to fraction form
    415,884/669,762 = 669,762/x
  3. Step 3: Cross multiply
    415,884x = 669,762 × 669,762
  4. Step 4: Simplify right side
    415,884x = 448,581,136,644
  5. Step 5: Solve for x
    x = 448,581,136,644/415,884
  6. Step 6: Final answer
    x = 1,078,620.81

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.