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Finding the Third Proportional to 419,650 and 665,515

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Solution

The third proportional to 419,650 and 665,515 is: 1,055,427.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,650 : 665,515 = 665,515 : x
  2. Step 2: Convert to fraction form
    419,650/665,515 = 665,515/x
  3. Step 3: Cross multiply
    419,650x = 665,515 × 665,515
  4. Step 4: Simplify right side
    419,650x = 442,910,215,225
  5. Step 5: Solve for x
    x = 442,910,215,225/419,650
  6. Step 6: Final answer
    x = 1,055,427.65

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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.