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Finding the Third Proportional to 419,763 and 665,748

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Solution

The third proportional to 419,763 and 665,748 is: 1,055,882.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,763 : 665,748 = 665,748 : x
  2. Step 2: Convert to fraction form
    419,763/665,748 = 665,748/x
  3. Step 3: Cross multiply
    419,763x = 665,748 × 665,748
  4. Step 4: Simplify right side
    419,763x = 443,220,399,504
  5. Step 5: Solve for x
    x = 443,220,399,504/419,763
  6. Step 6: Final answer
    x = 1,055,882.48

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.