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Finding the Third Proportional to 419,640 and 665,500

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Solution

The third proportional to 419,640 and 665,500 is: 1,055,405.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,640 : 665,500 = 665,500 : x
  2. Step 2: Convert to fraction form
    419,640/665,500 = 665,500/x
  3. Step 3: Cross multiply
    419,640x = 665,500 × 665,500
  4. Step 4: Simplify right side
    419,640x = 442,890,250,000
  5. Step 5: Solve for x
    x = 442,890,250,000/419,640
  6. Step 6: Final answer
    x = 1,055,405.23

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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.